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Finding the Third Proportional to 394,414,056 and 613,150,722

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Solution

The third proportional to 394,414,056 and 613,150,722 is: 953,195,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,414,056 : 613,150,722 = 613,150,722 : x
  2. Step 2: Convert to fraction form
    394,414,056/613,150,722 = 613,150,722/x
  3. Step 3: Cross multiply
    394,414,056x = 613,150,722 × 613,150,722
  4. Step 4: Simplify right side
    394,414,056x = 375,953,807,889,121,280
  5. Step 5: Solve for x
    x = 375,953,807,889,121,280/394,414,056
  6. Step 6: Final answer
    x = 953,195,765.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.