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Finding the Third Proportional to 33,565,306.50 and 47,377,197

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Solution

The third proportional to 33,565,306.50 and 47,377,197 is: 66,872,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565,306.50 : 47,377,197 = 47,377,197 : x
  2. Step 2: Convert to fraction form
    33,565,306.50/47,377,197 = 47,377,197/x
  3. Step 3: Cross multiply
    33,565,306.50x = 47,377,197 × 47,377,197
  4. Step 4: Simplify right side
    33,565,306.50x = 2,244,598,795,576,809
  5. Step 5: Solve for x
    x = 2,244,598,795,576,809/33,565,306.50
  6. Step 6: Final answer
    x = 66,872,584.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.