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Finding the Third Proportional to 39,584,224 and 87,220,488

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Solution

The third proportional to 39,584,224 and 87,220,488 is: 192,182,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584,224 : 87,220,488 = 87,220,488 : x
  2. Step 2: Convert to fraction form
    39,584,224/87,220,488 = 87,220,488/x
  3. Step 3: Cross multiply
    39,584,224x = 87,220,488 × 87,220,488
  4. Step 4: Simplify right side
    39,584,224x = 7,607,413,526,958,144
  5. Step 5: Solve for x
    x = 7,607,413,526,958,144/39,584,224
  6. Step 6: Final answer
    x = 192,182,964.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.