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Finding the Third Proportional to 36,972,713.25 and 79,791,196.50

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Solution

The third proportional to 36,972,713.25 and 79,791,196.50 is: 172,198,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972,713.25 : 79,791,196.50 = 79,791,196.50 : x
  2. Step 2: Convert to fraction form
    36,972,713.25/79,791,196.50 = 79,791,196.50/x
  3. Step 3: Cross multiply
    36,972,713.25x = 79,791,196.50 × 79,791,196.50
  4. Step 4: Simplify right side
    36,972,713.25x = 6,366,635,038,901,612
  5. Step 5: Solve for x
    x = 6,366,635,038,901,612/36,972,713.25
  6. Step 6: Final answer
    x = 172,198,209.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.