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Finding the Third Proportional to 15,918,466,864 and 34,073,099,756

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Solution

The third proportional to 15,918,466,864 and 34,073,099,756 is: 72,932,659,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918,466,864 : 34,073,099,756 = 34,073,099,756 : x
  2. Step 2: Convert to fraction form
    15,918,466,864/34,073,099,756 = 34,073,099,756/x
  3. Step 3: Cross multiply
    15,918,466,864x = 34,073,099,756 × 34,073,099,756
  4. Step 4: Simplify right side
    15,918,466,864x = 1,160,976,126,982,327,238,656
  5. Step 5: Solve for x
    x = 1,160,976,126,982,327,238,656/15,918,466,864
  6. Step 6: Final answer
    x = 72,932,659,715.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.