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Finding the Third Proportional to 87,851,732,044 and 123,714,597,466

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Solution

The third proportional to 87,851,732,044 and 123,714,597,466 is: 174,217,414,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,851,732,044 : 123,714,597,466 = 123,714,597,466 : x
  2. Step 2: Convert to fraction form
    87,851,732,044/123,714,597,466 = 123,714,597,466/x
  3. Step 3: Cross multiply
    87,851,732,044x = 123,714,597,466 × 123,714,597,466
  4. Step 4: Simplify right side
    87,851,732,044x = 15,305,301,626,174,413,209,600
  5. Step 5: Solve for x
    x = 15,305,301,626,174,413,209,600/87,851,732,044
  6. Step 6: Final answer
    x = 174,217,414,615.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.