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Finding the Third Proportional to 4,885,680 and 10,420,704

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Solution

The third proportional to 4,885,680 and 10,420,704 is: 22,226,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885,680 : 10,420,704 = 10,420,704 : x
  2. Step 2: Convert to fraction form
    4,885,680/10,420,704 = 10,420,704/x
  3. Step 3: Cross multiply
    4,885,680x = 10,420,704 × 10,420,704
  4. Step 4: Simplify right side
    4,885,680x = 108,591,071,855,616
  5. Step 5: Solve for x
    x = 108,591,071,855,616/4,885,680
  6. Step 6: Final answer
    x = 22,226,398.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.