Solving Kepler's Equation for Comet Orbit Time Around Sun

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Homework Statement



A comet is 10 times farther from the sun than the Earth. Find the time it take to make its orbit around the sun.

Homework Equations


T^2/R^3 = K
K= 3.36X10^18


The Attempt at a Solution



I tried to create a ratio, but I honestly have no idea where to start. I'm not even sure I need to know kepler's constant for this problem. and the answer is T=31.6

I don't know what to put as R, and that leaves me with two variables, R and T.
I also don't know if Kepler's constant is the same for the comet and the earth.
 
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since k is equal for both objects, you can set each objects time^2/distance^3 ratio equal to each other. Then use that [tex]R_{comet}=10R_{earth}[/tex].