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Finding the Third Proportional to 32,690,538.75 and 71,757,411

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Solution

The third proportional to 32,690,538.75 and 71,757,411 is: 157,511,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690,538.75 : 71,757,411 = 71,757,411 : x
  2. Step 2: Convert to fraction form
    32,690,538.75/71,757,411 = 71,757,411/x
  3. Step 3: Cross multiply
    32,690,538.75x = 71,757,411 × 71,757,411
  4. Step 4: Simplify right side
    32,690,538.75x = 5,149,126,033,422,921
  5. Step 5: Solve for x
    x = 5,149,126,033,422,921/32,690,538.75
  6. Step 6: Final answer
    x = 157,511,201.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.