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Finding the Third Proportional to 458,372,792.53 and 992,894,517.84

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Solution

The third proportional to 458,372,792.53 and 992,894,517.84 is: 2,150,737,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,372,792.53 : 992,894,517.84 = 992,894,517.84 : x
  2. Step 2: Convert to fraction form
    458,372,792.53/992,894,517.84 = 992,894,517.84/x
  3. Step 3: Cross multiply
    458,372,792.53x = 992,894,517.84 × 992,894,517.84
  4. Step 4: Simplify right side
    458,372,792.53x = 985,839,523,564,172,800
  5. Step 5: Solve for x
    x = 985,839,523,564,172,800/458,372,792.53
  6. Step 6: Final answer
    x = 2,150,737,433.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.