The duo confirmed they would do battle again in Las Vegas after an entertaining fight last May.
American Mayweather improved his perfect professional record to 46-0 with a majority decision victory over Maidana to unify two world titles in their first fight in Las Vegas on May 4.
In promoting the second fight Mayweather said to the Argentine: "However much you're making for the fight, I'll bet you I'll beat you.
"That's how much I believe in myself because I can afford to give up whatever. So if you believe in your skills like you say you believe in your skills, however much you're making for the fight, I'll bet I beat you.
"If he believes in his skills, bet the fight. Either you're going to bet or not. Since I know I'm probably making about $70m (£41m). He believes in his skills and I believe in my skills."
Maidana has now responded and accepted the bet: "As far as the bet, yeah, I'm willing to take the bet no problem. I will take the bet."
Mayweather added the hard-hitting Argentine's World Boxing Association belt to his own World Boxing Council title.
However, Maidana made a fast start in that bout, launching a blizzard of punches and trapping his opponent against the ropes at every turn in the first few rounds.
Though Mayweather went on to dominate the second half of that contest, Maidana felt he had done enough to get the decision at the MGM Grand Garden Arena.
"I definitely feel like I won this fight. Floyd did not fight like a man, like I expected him to," Maidana (35-4, 31 KOs) told reporters afterwards.
Mayweather exuded confidence while awaiting the decision, with one judge ruling the fight a 114-114 draw while the other two scored the bout 117-111 and 116-112 in his favour.
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