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Finding the Third Proportional to 31,246,864 and 47,310,936

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Solution

The third proportional to 31,246,864 and 47,310,936 is: 71,633,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,246,864 : 47,310,936 = 47,310,936 : x
  2. Step 2: Convert to fraction form
    31,246,864/47,310,936 = 47,310,936/x
  3. Step 3: Cross multiply
    31,246,864x = 47,310,936 × 47,310,936
  4. Step 4: Simplify right side
    31,246,864x = 2,238,324,665,196,096
  5. Step 5: Solve for x
    x = 2,238,324,665,196,096/31,246,864
  6. Step 6: Final answer
    x = 71,633,577.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.