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Finding the Third Proportional to 267,457,872 and 582,397,444

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Solution

The third proportional to 267,457,872 and 582,397,444 is: 1,268,187,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,457,872 : 582,397,444 = 582,397,444 : x
  2. Step 2: Convert to fraction form
    267,457,872/582,397,444 = 582,397,444/x
  3. Step 3: Cross multiply
    267,457,872x = 582,397,444 × 582,397,444
  4. Step 4: Simplify right side
    267,457,872x = 339,186,782,777,733,120
  5. Step 5: Solve for x
    x = 339,186,782,777,733,120/267,457,872
  6. Step 6: Final answer
    x = 1,268,187,697.16

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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.