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Finding the Third Proportional to 31,599,952 and 47,192,856

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Solution

The third proportional to 31,599,952 and 47,192,856 is: 70,480,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599,952 : 47,192,856 = 47,192,856 : x
  2. Step 2: Convert to fraction form
    31,599,952/47,192,856 = 47,192,856/x
  3. Step 3: Cross multiply
    31,599,952x = 47,192,856 × 47,192,856
  4. Step 4: Simplify right side
    31,599,952x = 2,227,165,657,436,736
  5. Step 5: Solve for x
    x = 2,227,165,657,436,736/31,599,952
  6. Step 6: Final answer
    x = 70,480,032.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.