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Finding the Third Proportional to 39,794,664 and 86,595,591

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Solution

The third proportional to 39,794,664 and 86,595,591 is: 188,437,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794,664 : 86,595,591 = 86,595,591 : x
  2. Step 2: Convert to fraction form
    39,794,664/86,595,591 = 86,595,591/x
  3. Step 3: Cross multiply
    39,794,664x = 86,595,591 × 86,595,591
  4. Step 4: Simplify right side
    39,794,664x = 7,498,796,380,639,281
  5. Step 5: Solve for x
    x = 7,498,796,380,639,281/39,794,664
  6. Step 6: Final answer
    x = 188,437,233.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.