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The conversion factor between a light-year and meters can be calculated by considering the speed of light. The speed of light in a vacuum is approximately 299,792,458 meters per second. To find the distance traveled by light in one year, we need to multiply this speed by the number of seconds in a year.

Given: Speed of light = 299,792,458 m/s Number of seconds in a year = 31,536,000 (approximate value)

To calculate the conversion factor, we multiply the speed of light by the number of seconds in a year:

Conversion factor = Speed of light * Number of seconds in a year = 299,792,458 m/s * 31,536,000 s

Performing the calculation:

Conversion factor ≈ 9,461,000,000,000,000 meters

Therefore, the conversion factor between a light-year and meters is approximately 9,461,000,000,000,000 meters. This means that one light-year is equal to approximately 9.461 trillion kilometers.

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