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Finding the Third Proportional to 282,586,513 and 381,679,414

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Solution

The third proportional to 282,586,513 and 381,679,414 is: 515,520,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,513 : 381,679,414 = 381,679,414 : x
  2. Step 2: Convert to fraction form
    282,586,513/381,679,414 = 381,679,414/x
  3. Step 3: Cross multiply
    282,586,513x = 381,679,414 × 381,679,414
  4. Step 4: Simplify right side
    282,586,513x = 145,679,175,071,383,392
  5. Step 5: Solve for x
    x = 145,679,175,071,383,392/282,586,513
  6. Step 6: Final answer
    x = 515,520,622.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.