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That would depend on the thickness of the yarn. To calculate the length we would need to divide the volume of Earth (about 1.08 trillion kilometers) by the cross-sectional area of the yarn. If the yarn is 3 mm (about 1/8 inch) thick then the unraveled string would be a little over 12 billion light years long, or about 71 sextillion miles.

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Q: If you have a ball of yarn as big as the earth and you unraveled it from earth into space how far would it go?
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