The minor planet $(33340)1998V{G}_{44}$ makes exactly two orbits of the sun during the time that Neptune makes three orbits. The eccentricity of the orbit of this minor planet is $0\mathrm{.}25,$ and the orbit radius of Neptune is $4\mathrm{.}5{10}^{12}m.$ Find the semi$-$major axis of this minor planet.

Express your answer with the appropriate units.

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You may have incorrectly found the orbital period ratio. Recall Kepler's third law.