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Finding the Third Proportional to 31,772,944 and 47,616,727

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Solution

The third proportional to 31,772,944 and 47,616,727 is: 71,361,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,944 : 47,616,727 = 47,616,727 : x
  2. Step 2: Convert to fraction form
    31,772,944/47,616,727 = 47,616,727/x
  3. Step 3: Cross multiply
    31,772,944x = 47,616,727 × 47,616,727
  4. Step 4: Simplify right side
    31,772,944x = 2,267,352,690,192,529
  5. Step 5: Solve for x
    x = 2,267,352,690,192,529/31,772,944
  6. Step 6: Final answer
    x = 71,361,114.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.