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Finding the Third Proportional to 4,059,957 and 8,454,711

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Solution

The third proportional to 4,059,957 and 8,454,711 is: 17,606,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059,957 : 8,454,711 = 8,454,711 : x
  2. Step 2: Convert to fraction form
    4,059,957/8,454,711 = 8,454,711/x
  3. Step 3: Cross multiply
    4,059,957x = 8,454,711 × 8,454,711
  4. Step 4: Simplify right side
    4,059,957x = 71,482,138,093,521
  5. Step 5: Solve for x
    x = 71,482,138,093,521/4,059,957
  6. Step 6: Final answer
    x = 17,606,624.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.