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Finding the Third Proportional to 10,374,494 and 16,668,849

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Solution

The third proportional to 10,374,494 and 16,668,849 is: 26,782,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374,494 : 16,668,849 = 16,668,849 : x
  2. Step 2: Convert to fraction form
    10,374,494/16,668,849 = 16,668,849/x
  3. Step 3: Cross multiply
    10,374,494x = 16,668,849 × 16,668,849
  4. Step 4: Simplify right side
    10,374,494x = 277,850,526,984,801
  5. Step 5: Solve for x
    x = 277,850,526,984,801/10,374,494
  6. Step 6: Final answer
    x = 26,782,079.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.