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Finding the Third Proportional to 12,752,378 and 27,324,049

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Solution

The third proportional to 12,752,378 and 27,324,049 is: 58,546,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,378 : 27,324,049 = 27,324,049 : x
  2. Step 2: Convert to fraction form
    12,752,378/27,324,049 = 27,324,049/x
  3. Step 3: Cross multiply
    12,752,378x = 27,324,049 × 27,324,049
  4. Step 4: Simplify right side
    12,752,378x = 746,603,653,754,401
  5. Step 5: Solve for x
    x = 746,603,653,754,401/12,752,378
  6. Step 6: Final answer
    x = 58,546,229.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.