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Finding the Third Proportional to 12,401,586 and 18,614,742

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Solution

The third proportional to 12,401,586 and 18,614,742 is: 27,940,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401,586 : 18,614,742 = 18,614,742 : x
  2. Step 2: Convert to fraction form
    12,401,586/18,614,742 = 18,614,742/x
  3. Step 3: Cross multiply
    12,401,586x = 18,614,742 × 18,614,742
  4. Step 4: Simplify right side
    12,401,586x = 346,508,619,726,564
  5. Step 5: Solve for x
    x = 346,508,619,726,564/12,401,586
  6. Step 6: Final answer
    x = 27,940,669.82

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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.