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Finding the Third Proportional to 10,085,481 and 15,138,549

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Solution

The third proportional to 10,085,481 and 15,138,549 is: 22,723,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085,481 : 15,138,549 = 15,138,549 : x
  2. Step 2: Convert to fraction form
    10,085,481/15,138,549 = 15,138,549/x
  3. Step 3: Cross multiply
    10,085,481x = 15,138,549 × 15,138,549
  4. Step 4: Simplify right side
    10,085,481x = 229,175,665,825,401
  5. Step 5: Solve for x
    x = 229,175,665,825,401/10,085,481
  6. Step 6: Final answer
    x = 22,723,325.33

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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.