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Finding the Third Proportional to 14,189,898 and 31,126,749

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Solution

The third proportional to 14,189,898 and 31,126,749 is: 68,279,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189,898 : 31,126,749 = 31,126,749 : x
  2. Step 2: Convert to fraction form
    14,189,898/31,126,749 = 31,126,749/x
  3. Step 3: Cross multiply
    14,189,898x = 31,126,749 × 31,126,749
  4. Step 4: Simplify right side
    14,189,898x = 968,874,503,309,001
  5. Step 5: Solve for x
    x = 968,874,503,309,001/14,189,898
  6. Step 6: Final answer
    x = 68,279,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.