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Finding the Third Proportional to 267,457,871.50 and 582,397,443

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Solution

The third proportional to 267,457,871.50 and 582,397,443 is: 1,268,187,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,457,871.50 : 582,397,443 = 582,397,443 : x
  2. Step 2: Convert to fraction form
    267,457,871.50/582,397,443 = 582,397,443/x
  3. Step 3: Cross multiply
    267,457,871.50x = 582,397,443 × 582,397,443
  4. Step 4: Simplify right side
    267,457,871.50x = 339,186,781,612,938,240
  5. Step 5: Solve for x
    x = 339,186,781,612,938,240/267,457,871.50
  6. Step 6: Final answer
    x = 1,268,187,695.17

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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.