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Finding the Third Proportional to 239,682,431 and 515,768,571

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Solution

The third proportional to 239,682,431 and 515,768,571 is: 1,109,873,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,682,431 : 515,768,571 = 515,768,571 : x
  2. Step 2: Convert to fraction form
    239,682,431/515,768,571 = 515,768,571/x
  3. Step 3: Cross multiply
    239,682,431x = 515,768,571 × 515,768,571
  4. Step 4: Simplify right side
    239,682,431x = 266,017,218,831,382,048
  5. Step 5: Solve for x
    x = 266,017,218,831,382,048/239,682,431
  6. Step 6: Final answer
    x = 1,109,873,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.