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Finding the Third Proportional to 11,241,866 and 24,188,769

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Solution

The third proportional to 11,241,866 and 24,188,769 is: 52,046,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241,866 : 24,188,769 = 24,188,769 : x
  2. Step 2: Convert to fraction form
    11,241,866/24,188,769 = 24,188,769/x
  3. Step 3: Cross multiply
    11,241,866x = 24,188,769 × 24,188,769
  4. Step 4: Simplify right side
    11,241,866x = 585,096,545,735,361
  5. Step 5: Solve for x
    x = 585,096,545,735,361/11,241,866
  6. Step 6: Final answer
    x = 52,046,212.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.