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Finding the Third Proportional to 69,485,571 and 150,408,966

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Solution

The third proportional to 69,485,571 and 150,408,966 is: 325,576,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,485,571 : 150,408,966 = 150,408,966 : x
  2. Step 2: Convert to fraction form
    69,485,571/150,408,966 = 150,408,966/x
  3. Step 3: Cross multiply
    69,485,571x = 150,408,966 × 150,408,966
  4. Step 4: Simplify right side
    69,485,571x = 22,622,857,053,189,156
  5. Step 5: Solve for x
    x = 22,622,857,053,189,156/69,485,571
  6. Step 6: Final answer
    x = 325,576,327.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.