Conversion Problem

Convert 24.8 miles to the equivalent value in kilometres. How can we do this first determining the unit conversion factor needed to convert values in miles to values in kilometres, starting with the unit conversion factors 25.4 mm/in., 12 in./ft., 1 yd./3 ft. and 1 mi./1760 yd. Finish this problem by performing the actual conversion

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This could be answered in one long string of factors, but I will break it up into separate factors for the sake of a clear explanation.

24.8 miles / x yards = 1 mile / 1760 yards

This gives us 24.8(1760) = 43,648 yards.

Then, we can convert yards to feet.

43,648 yards / x feet = 1 yard / 3 feet

This gives us 43,648(3) = 130,944 feet

Then, we can convert feet to inches

130,944 feet / x inches = 1 foot / 12 inches

This gives us 130,944(12) = 1,571,328 inches

Then, we can convert inches to milimeters

1,571,328 inches / x mm = 1 inches / 25.4 inches

This gives us 1,571,328(25.4) = 39,911,731.20 mm

Finally, we have to remember that there are 1000 mm in a kilometer, so we get

39,911,731.29 mm / x kilometers = 1000 mm / 1 km

Which gives us a final answer of **39,911.73 kilometers**.

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