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Finding the Third Proportional to 23,429,526,384 and 35,692,462,665

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Solution

The third proportional to 23,429,526,384 and 35,692,462,665 is: 54,373,779,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429,526,384 : 35,692,462,665 = 35,692,462,665 : x
  2. Step 2: Convert to fraction form
    23,429,526,384/35,692,462,665 = 35,692,462,665/x
  3. Step 3: Cross multiply
    23,429,526,384x = 35,692,462,665 × 35,692,462,665
  4. Step 4: Simplify right side
    23,429,526,384x = 1,273,951,891,092,418,854,912
  5. Step 5: Solve for x
    x = 1,273,951,891,092,418,854,912/23,429,526,384
  6. Step 6: Final answer
    x = 54,373,779,060.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.