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Finding the Third Proportional to 15,657,198,481,296 and 31,760,842,577,344

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Solution

The third proportional to 15,657,198,481,296 and 31,760,842,577,344 is: 64,427,306,227,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657,198,481,296 : 31,760,842,577,344 = 31,760,842,577,344 : x
  2. Step 2: Convert to fraction form
    15,657,198,481,296/31,760,842,577,344 = 31,760,842,577,344/x
  3. Step 3: Cross multiply
    15,657,198,481,296x = 31,760,842,577,344 × 31,760,842,577,344
  4. Step 4: Simplify right side
    15,657,198,481,296x = 1,008,751,121,222,827,524,069,785,600
  5. Step 5: Solve for x
    x = 1,008,751,121,222,827,524,069,785,600/15,657,198,481,296
  6. Step 6: Final answer
    x = 64,427,306,227,731.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.