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Finding the Third Proportional to 31,587,960 and 47,770,736

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Solution

The third proportional to 31,587,960 and 47,770,736 is: 72,244,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587,960 : 47,770,736 = 47,770,736 : x
  2. Step 2: Convert to fraction form
    31,587,960/47,770,736 = 47,770,736/x
  3. Step 3: Cross multiply
    31,587,960x = 47,770,736 × 47,770,736
  4. Step 4: Simplify right side
    31,587,960x = 2,282,043,217,981,696
  5. Step 5: Solve for x
    x = 2,282,043,217,981,696/31,587,960
  6. Step 6: Final answer
    x = 72,244,083.44

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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.