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To find the period P (in Earth years) using Kepler's Third Law of Orbital Motion, we have the formula p = da, where d is the distance (in astronomical units, AU) from the planet to the sun.
In this case, the planet is 6.76 AU from the sun, so we substitute this value into the formula: p = 6.76 * a.
To find the value of a, we need to know the distance of the planet's orbit from the sun. Without this information, we cannot determine the exact number of Earth years it would take for the planet to complete one orbit.