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Finding the Third Proportional to 40,361,987 and 86,105,453

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Solution

The third proportional to 40,361,987 and 86,105,453 is: 183,691,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,361,987 : 86,105,453 = 86,105,453 : x
  2. Step 2: Convert to fraction form
    40,361,987/86,105,453 = 86,105,453/x
  3. Step 3: Cross multiply
    40,361,987x = 86,105,453 × 86,105,453
  4. Step 4: Simplify right side
    40,361,987x = 7,414,149,036,335,209
  5. Step 5: Solve for x
    x = 7,414,149,036,335,209/40,361,987
  6. Step 6: Final answer
    x = 183,691,378.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.