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Finding the Third Proportional to 47,865,252 and 115,400,667

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Solution

The third proportional to 47,865,252 and 115,400,667 is: 278,225,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865,252 : 115,400,667 = 115,400,667 : x
  2. Step 2: Convert to fraction form
    47,865,252/115,400,667 = 115,400,667/x
  3. Step 3: Cross multiply
    47,865,252x = 115,400,667 × 115,400,667
  4. Step 4: Simplify right side
    47,865,252x = 13,317,313,944,044,888
  5. Step 5: Solve for x
    x = 13,317,313,944,044,888/47,865,252
  6. Step 6: Final answer
    x = 278,225,087.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.