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Finding the Third Proportional to 31,527,462 and 44,378,267

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Solution

The third proportional to 31,527,462 and 44,378,267 is: 62,467,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527,462 : 44,378,267 = 44,378,267 : x
  2. Step 2: Convert to fraction form
    31,527,462/44,378,267 = 44,378,267/x
  3. Step 3: Cross multiply
    31,527,462x = 44,378,267 × 44,378,267
  4. Step 4: Simplify right side
    31,527,462x = 1,969,430,581,923,289
  5. Step 5: Solve for x
    x = 1,969,430,581,923,289/31,527,462
  6. Step 6: Final answer
    x = 62,467,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.