A planet has two small satellites in circular orbits around the planet. The first satellite has a

period $12\mathrm{.}0$ hours and an orbital radius $6\mathrm{.}00107$ m$.$ The second planet has a period $16\mathrm{.}0$ hours.

What is the orbital radius of the second satellite?

A$)9\mathrm{.}24107$

B$)8\mathrm{.}00107$

C$)7\mathrm{.}27107$

D$)4\mathrm{.}50107$

E$)3\mathrm{.}90107$