DETROIT — Chrysler paid back on Tuesday $7.6 billion in loans from the American and Canadian governments, paving the way for its Italian partner, Fiat, to increase its control over the Detroit carmaker.

The repayment of loans and interest owed to the United States Treasury and Export Development Canada is a significant milestone in Chrysler’s methodical comeback from bankruptcy in 2009.

Now the company’s revival will enter a new phase that depends heavily on its alliance with Fiat, which on Tuesday increased its stake in Chrysler to 46 percent, from 30 percent.

Fiat will most likely increase its ownership to 51 percent by the end of the year. Terms of Chrysler’s federal bailout allow the Italian company to gain an additional 5 percent interest when a prototype of a new fuel-efficient compact car is ready for production in the United States.