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Finding the Third Proportional to 8,614,905 and 13,337,766

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Solution

The third proportional to 8,614,905 and 13,337,766 is: 20,649,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614,905 : 13,337,766 = 13,337,766 : x
  2. Step 2: Convert to fraction form
    8,614,905/13,337,766 = 13,337,766/x
  3. Step 3: Cross multiply
    8,614,905x = 13,337,766 × 13,337,766
  4. Step 4: Simplify right side
    8,614,905x = 177,896,001,870,756
  5. Step 5: Solve for x
    x = 177,896,001,870,756/8,614,905
  6. Step 6: Final answer
    x = 20,649,792.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.