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Finding the Third Proportional to 33,693,780 and 49,277,067

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Solution

The third proportional to 33,693,780 and 49,277,067 is: 72,067,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693,780 : 49,277,067 = 49,277,067 : x
  2. Step 2: Convert to fraction form
    33,693,780/49,277,067 = 49,277,067/x
  3. Step 3: Cross multiply
    33,693,780x = 49,277,067 × 49,277,067
  4. Step 4: Simplify right side
    33,693,780x = 2,428,229,332,122,489
  5. Step 5: Solve for x
    x = 2,428,229,332,122,489/33,693,780
  6. Step 6: Final answer
    x = 72,067,584.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.