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Finding the Third Proportional to 2,372,304,214 and 4,940,962,544

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Solution

The third proportional to 2,372,304,214 and 4,940,962,544 is: 10,290,885,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,304,214 : 4,940,962,544 = 4,940,962,544 : x
  2. Step 2: Convert to fraction form
    2,372,304,214/4,940,962,544 = 4,940,962,544/x
  3. Step 3: Cross multiply
    2,372,304,214x = 4,940,962,544 × 4,940,962,544
  4. Step 4: Simplify right side
    2,372,304,214x = 24,413,110,861,210,951,680
  5. Step 5: Solve for x
    x = 24,413,110,861,210,951,680/2,372,304,214
  6. Step 6: Final answer
    x = 10,290,885,425.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.