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Finding the Third Proportional to 267,971,596 and 580,461,080

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Solution

The third proportional to 267,971,596 and 580,461,080 is: 1,257,353,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,971,596 : 580,461,080 = 580,461,080 : x
  2. Step 2: Convert to fraction form
    267,971,596/580,461,080 = 580,461,080/x
  3. Step 3: Cross multiply
    267,971,596x = 580,461,080 × 580,461,080
  4. Step 4: Simplify right side
    267,971,596x = 336,935,065,394,766,400
  5. Step 5: Solve for x
    x = 336,935,065,394,766,400/267,971,596
  6. Step 6: Final answer
    x = 1,257,353,653.98

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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.