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Finding the Third Proportional to 122,638,474 and 267,049,748

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Solution

The third proportional to 122,638,474 and 267,049,748 is: 581,510,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,638,474 : 267,049,748 = 267,049,748 : x
  2. Step 2: Convert to fraction form
    122,638,474/267,049,748 = 267,049,748/x
  3. Step 3: Cross multiply
    122,638,474x = 267,049,748 × 267,049,748
  4. Step 4: Simplify right side
    122,638,474x = 71,315,567,906,863,504
  5. Step 5: Solve for x
    x = 71,315,567,906,863,504/122,638,474
  6. Step 6: Final answer
    x = 581,510,561.74

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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.