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Finding the Third Proportional to 267,943,294 and 580,410,471

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Solution

The third proportional to 267,943,294 and 580,410,471 is: 1,257,267,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,943,294 : 580,410,471 = 580,410,471 : x
  2. Step 2: Convert to fraction form
    267,943,294/580,410,471 = 580,410,471/x
  3. Step 3: Cross multiply
    267,943,294x = 580,410,471 × 580,410,471
  4. Step 4: Simplify right side
    267,943,294x = 336,876,314,846,441,856
  5. Step 5: Solve for x
    x = 336,876,314,846,441,856/267,943,294
  6. Step 6: Final answer
    x = 1,257,267,199.40

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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.