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Finding the Third Proportional to 37,172,372.25 and 80,521,641.75

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Solution

The third proportional to 37,172,372.25 and 80,521,641.75 is: 174,423,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,372.25 : 80,521,641.75 = 80,521,641.75 : x
  2. Step 2: Convert to fraction form
    37,172,372.25/80,521,641.75 = 80,521,641.75/x
  3. Step 3: Cross multiply
    37,172,372.25x = 80,521,641.75 × 80,521,641.75
  4. Step 4: Simplify right side
    37,172,372.25x = 6,483,734,790,115,343
  5. Step 5: Solve for x
    x = 6,483,734,790,115,343/37,172,372.25
  6. Step 6: Final answer
    x = 174,423,487.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.