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Finding the Third Proportional to 31,811,328 and 48,957,057

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Solution

The third proportional to 31,811,328 and 48,957,057 is: 75,344,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811,328 : 48,957,057 = 48,957,057 : x
  2. Step 2: Convert to fraction form
    31,811,328/48,957,057 = 48,957,057/x
  3. Step 3: Cross multiply
    31,811,328x = 48,957,057 × 48,957,057
  4. Step 4: Simplify right side
    31,811,328x = 2,396,793,430,101,249
  5. Step 5: Solve for x
    x = 2,396,793,430,101,249/31,811,328
  6. Step 6: Final answer
    x = 75,344,023.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.