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Finding the Third Proportional to 123,652,496,676 and 267,837,633,558

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Solution

The third proportional to 123,652,496,676 and 267,837,633,558 is: 580,150,016,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,652,496,676 : 267,837,633,558 = 267,837,633,558 : x
  2. Step 2: Convert to fraction form
    123,652,496,676/267,837,633,558 = 267,837,633,558/x
  3. Step 3: Cross multiply
    123,652,496,676x = 267,837,633,558 × 267,837,633,558
  4. Step 4: Simplify right side
    123,652,496,676x = 71,736,997,949,949,484,204,032
  5. Step 5: Solve for x
    x = 71,736,997,949,949,484,204,032/123,652,496,676
  6. Step 6: Final answer
    x = 580,150,016,201.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.