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Finding the Third Proportional to 71,189,259,656 and 96,947,620,496

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Solution

The third proportional to 71,189,259,656 and 96,947,620,496 is: 132,026,111,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,189,259,656 : 96,947,620,496 = 96,947,620,496 : x
  2. Step 2: Convert to fraction form
    71,189,259,656/96,947,620,496 = 96,947,620,496/x
  3. Step 3: Cross multiply
    71,189,259,656x = 96,947,620,496 × 96,947,620,496
  4. Step 4: Simplify right side
    71,189,259,656x = 9,398,841,119,836,438,790,144
  5. Step 5: Solve for x
    x = 9,398,841,119,836,438,790,144/71,189,259,656
  6. Step 6: Final answer
    x = 132,026,111,315.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.