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Finding the Third Proportional to 182,741,728 and 398,970,456

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Solution

The third proportional to 182,741,728 and 398,970,456 is: 871,051,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,741,728 : 398,970,456 = 398,970,456 : x
  2. Step 2: Convert to fraction form
    182,741,728/398,970,456 = 398,970,456/x
  3. Step 3: Cross multiply
    182,741,728x = 398,970,456 × 398,970,456
  4. Step 4: Simplify right side
    182,741,728x = 159,177,424,760,847,936
  5. Step 5: Solve for x
    x = 159,177,424,760,847,936/182,741,728
  6. Step 6: Final answer
    x = 871,051,327.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.