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Finding the Third Proportional to 31,031,118 and 65,278,098

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Solution

The third proportional to 31,031,118 and 65,278,098 is: 137,321,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,031,118 : 65,278,098 = 65,278,098 : x
  2. Step 2: Convert to fraction form
    31,031,118/65,278,098 = 65,278,098/x
  3. Step 3: Cross multiply
    31,031,118x = 65,278,098 × 65,278,098
  4. Step 4: Simplify right side
    31,031,118x = 4,261,230,078,497,604
  5. Step 5: Solve for x
    x = 4,261,230,078,497,604/31,031,118
  6. Step 6: Final answer
    x = 137,321,190.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.