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Finding the Third Proportional to 39,694,086 and 85,131,510.75

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Solution

The third proportional to 39,694,086 and 85,131,510.75 is: 182,580,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,694,086 : 85,131,510.75 = 85,131,510.75 : x
  2. Step 2: Convert to fraction form
    39,694,086/85,131,510.75 = 85,131,510.75/x
  3. Step 3: Cross multiply
    39,694,086x = 85,131,510.75 × 85,131,510.75
  4. Step 4: Simplify right side
    39,694,086x = 7,247,374,122,577,366
  5. Step 5: Solve for x
    x = 7,247,374,122,577,366/39,694,086
  6. Step 6: Final answer
    x = 182,580,702.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.