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Finding the Third Proportional to 2,154,420,676 and 4,711,948,424

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Solution

The third proportional to 2,154,420,676 and 4,711,948,424 is: 10,305,535,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,420,676 : 4,711,948,424 = 4,711,948,424 : x
  2. Step 2: Convert to fraction form
    2,154,420,676/4,711,948,424 = 4,711,948,424/x
  3. Step 3: Cross multiply
    2,154,420,676x = 4,711,948,424 × 4,711,948,424
  4. Step 4: Simplify right side
    2,154,420,676x = 22,202,457,950,436,085,760
  5. Step 5: Solve for x
    x = 22,202,457,950,436,085,760/2,154,420,676
  6. Step 6: Final answer
    x = 10,305,535,124.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.