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Finding the Third Proportional to 951,650,469.98 and 1,454,828,308.95

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Solution

The third proportional to 951,650,469.98 and 1,454,828,308.95 is: 2,224,057,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,650,469.98 : 1,454,828,308.95 = 1,454,828,308.95 : x
  2. Step 2: Convert to fraction form
    951,650,469.98/1,454,828,308.95 = 1,454,828,308.95/x
  3. Step 3: Cross multiply
    951,650,469.98x = 1,454,828,308.95 × 1,454,828,308.95
  4. Step 4: Simplify right side
    951,650,469.98x = 2,116,525,408,508,932,352
  5. Step 5: Solve for x
    x = 2,116,525,408,508,932,352/951,650,469.98
  6. Step 6: Final answer
    x = 2,224,057,545.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.