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Finding the Third Proportional to 3,428,699,864 and 7,441,906,096

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Solution

The third proportional to 3,428,699,864 and 7,441,906,096 is: 16,152,468,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,699,864 : 7,441,906,096 = 7,441,906,096 : x
  2. Step 2: Convert to fraction form
    3,428,699,864/7,441,906,096 = 7,441,906,096/x
  3. Step 3: Cross multiply
    3,428,699,864x = 7,441,906,096 × 7,441,906,096
  4. Step 4: Simplify right side
    3,428,699,864x = 55,381,966,341,681,963,008
  5. Step 5: Solve for x
    x = 55,381,966,341,681,963,008/3,428,699,864
  6. Step 6: Final answer
    x = 16,152,468,439.47

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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.