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Finding the Third Proportional to 27,738,468 and 36,815,742

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Solution

The third proportional to 27,738,468 and 36,815,742 is: 48,863,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738,468 : 36,815,742 = 36,815,742 : x
  2. Step 2: Convert to fraction form
    27,738,468/36,815,742 = 36,815,742/x
  3. Step 3: Cross multiply
    27,738,468x = 36,815,742 × 36,815,742
  4. Step 4: Simplify right side
    27,738,468x = 1,355,398,859,010,564
  5. Step 5: Solve for x
    x = 1,355,398,859,010,564/27,738,468
  6. Step 6: Final answer
    x = 48,863,508.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.