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Finding the Third Proportional to 414,781,915.50 and 888,726,738.38

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Solution

The third proportional to 414,781,915.50 and 888,726,738.38 is: 1,904,218,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,915.50 : 888,726,738.38 = 888,726,738.38 : x
  2. Step 2: Convert to fraction form
    414,781,915.50/888,726,738.38 = 888,726,738.38/x
  3. Step 3: Cross multiply
    414,781,915.50x = 888,726,738.38 × 888,726,738.38
  4. Step 4: Simplify right side
    414,781,915.50x = 789,835,215,502,665,728
  5. Step 5: Solve for x
    x = 789,835,215,502,665,728/414,781,915.50
  6. Step 6: Final answer
    x = 1,904,218,062.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.