Joe Schmidt's side overcame miserable conditions, the absence of key forwards Alan Alaalatoa and Rob Valetini and first-choice halfback Jake Gordon as well as the loss of dazed flyhalf Tom Lynagh to record a spirited and spiteful victory at Accor Stadium.
Much of Saturday night's match was played in torrential rain while lightning early in the second half forced a rare 38-minute stoppage as several hundred fans were forced to evacuate the stadium to take shelter.
The Lions had been bidding to complete the first 3-0 series whitewash since 1904 after securing the trophy with a controversial 29-26 win in Melbourne last Saturday having won the Brisbane opener 27-19.
Instead the Wallabies out-played and out-enthused the series winners from the get-go to make a mockery of Andy Farrell's side's dream to be known as the greatest Lions team of all time.
In a match that had everything, including four pitch invaders during the delay, the Wallabies had all the answers: grunt up front, tenacious defence and the composure to close out the contest having blown an 18-point lead
"So proud," said triumphant skipper Harry Wilson.
"Obviously it was a disappointing week this week after such a tough loss. To bounce back the way we did, to play an 80-minute performance, I'm so proud of everyone.
We just wanted this game so badly. Whatever we had to do, we had to do. "To get the win was special."
The Wallabies enjoyed the early running and claimed a deserved 5-0 lead when Joseph-Aukuso Suaalii skipped and drew in two defenders to put winger Dylan Pietsch over in the left corner on seven minutes.
Replacing the injured Harry Potter, Pietsch designed the First Nations jersey and did the jumper proud, also earning Australia a key first-half penalty by holding up Lions centre Bundee Aki.
Despite being without Alaalatoa and Valetini, the Wallabies also enjoyed scrum dominance with recalled Taniela Tupou having a storming first half at the set piece.
The match erupted in the 23rd minute when the Lions took exception to Will Skelton pushing hooker Dan Sheehan off the ball.
Punches were thrown in several melees but it was Skelton, who'd been agitating all game, penalised for starting the scrap.
The Lions, though, still couldn't manage to escape their own half as the Wallabies continued bustling the tourists into error.
Lynagh slotted a 34th minute to edge the Wallabies to an 8-0 halftime lead before the flyhalf made way for Ben Donaldson after being forced off for a HIA.
TV replays captured Sheehan taking out Lynagh at a ruck and the Irishman will likely come under scrutiny from match officials.
While Lynagh's head knock was a blow, the Lions suffered a worse break losing skipper Maro Itoje, who failed a HIA midway through the first half.
Lions winger Tommy Freeman also left the action shortly before halftime with blood streaming down his face.
Further compounding the tourists' woes was lock James Ryan being stretchered off in the opening minutes of the second half after copping an accidental knee to the head from Skelton.
After going within less than a minute of levelling the series last week in Melbourne, the Wallabies played with passion and surely with a point to prove in front of 80,312 fans.
Tensions boiled over on several occasions but the hosts refused to take a backward step.
A 50-metre runaway try to winger Max Jorgensen in the 55th minute extended Australia's lead to 15 points, before the Lions replied through replacement forward Jac Morgan to revive their fortunes.
But despite a last-second try to Will Stuart, there was no coming back for the Lions when reserve half Tate McDermott reached out to score with 10 minutes left on the clock.
Big men Skelton, Tupou and lineout-stealing lock Nick Frost were enormous for the Wallabies and halfback Nic White, playing his last Test, getting under the skin of the Lions all night.
