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Finding the Third Proportional to 17,872,584.75 and 38,579,519.25

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Solution

The third proportional to 17,872,584.75 and 38,579,519.25 is: 83,277,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872,584.75 : 38,579,519.25 = 38,579,519.25 : x
  2. Step 2: Convert to fraction form
    17,872,584.75/38,579,519.25 = 38,579,519.25/x
  3. Step 3: Cross multiply
    17,872,584.75x = 38,579,519.25 × 38,579,519.25
  4. Step 4: Simplify right side
    17,872,584.75x = 1,488,379,305,561,120.50
  5. Step 5: Solve for x
    x = 1,488,379,305,561,120.50/17,872,584.75
  6. Step 6: Final answer
    x = 83,277,227.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.