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Finding the Third Proportional to 65,647,736 and 151,962,625

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Solution

The third proportional to 65,647,736 and 151,962,625 is: 351,765,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647,736 : 151,962,625 = 151,962,625 : x
  2. Step 2: Convert to fraction form
    65,647,736/151,962,625 = 151,962,625/x
  3. Step 3: Cross multiply
    65,647,736x = 151,962,625 × 151,962,625
  4. Step 4: Simplify right side
    65,647,736x = 23,092,639,396,890,624
  5. Step 5: Solve for x
    x = 23,092,639,396,890,624/65,647,736
  6. Step 6: Final answer
    x = 351,765,967.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.