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Finding the Third Proportional to 10,115,937.50 and 15,174,229.50

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Solution

The third proportional to 10,115,937.50 and 15,174,229.50 is: 22,761,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115,937.50 : 15,174,229.50 = 15,174,229.50 : x
  2. Step 2: Convert to fraction form
    10,115,937.50/15,174,229.50 = 15,174,229.50/x
  3. Step 3: Cross multiply
    10,115,937.50x = 15,174,229.50 × 15,174,229.50
  4. Step 4: Simplify right side
    10,115,937.50x = 230,257,240,918,670.25
  5. Step 5: Solve for x
    x = 230,257,240,918,670.25/10,115,937.50
  6. Step 6: Final answer
    x = 22,761,829.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.