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Finding the Third Proportional to 180,462,960 and 381,498,624

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Solution

The third proportional to 180,462,960 and 381,498,624 is: 806,487,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462,960 : 381,498,624 = 381,498,624 : x
  2. Step 2: Convert to fraction form
    180,462,960/381,498,624 = 381,498,624/x
  3. Step 3: Cross multiply
    180,462,960x = 381,498,624 × 381,498,624
  4. Step 4: Simplify right side
    180,462,960x = 145,541,200,113,893,376
  5. Step 5: Solve for x
    x = 145,541,200,113,893,376/180,462,960
  6. Step 6: Final answer
    x = 806,487,935.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.