Barry is interested in retiring soon. Currently, he has $$3,008,870$ in his retirement account. However, he is interested in reaching $$6,000,000$ in the account by the time he retires. Given this information, if he can earn $10\%$ in his account each year, how long will it take Barry to reach his savings goal?

$7\mathrm{.}2$ years

$8\mathrm{.}9$ years

$10\mathrm{.}1$ years

$11\mathrm{.}5$ years