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Finding the Third Proportional to 267,458,210 and 582,398,112

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Solution

The third proportional to 267,458,210 and 582,398,112 is: 1,268,189,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,458,210 : 582,398,112 = 582,398,112 : x
  2. Step 2: Convert to fraction form
    267,458,210/582,398,112 = 582,398,112/x
  3. Step 3: Cross multiply
    267,458,210x = 582,398,112 × 582,398,112
  4. Step 4: Simplify right side
    267,458,210x = 339,187,560,861,164,544
  5. Step 5: Solve for x
    x = 339,187,560,861,164,544/267,458,210
  6. Step 6: Final answer
    x = 1,268,189,003.66

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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.