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Finding the Third Proportional to 10,002,310.50 and 15,906,150

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Solution

The third proportional to 10,002,310.50 and 15,906,150 is: 25,294,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002,310.50 : 15,906,150 = 15,906,150 : x
  2. Step 2: Convert to fraction form
    10,002,310.50/15,906,150 = 15,906,150/x
  3. Step 3: Cross multiply
    10,002,310.50x = 15,906,150 × 15,906,150
  4. Step 4: Simplify right side
    10,002,310.50x = 253,005,607,822,500
  5. Step 5: Solve for x
    x = 253,005,607,822,500/10,002,310.50
  6. Step 6: Final answer
    x = 25,294,716.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.