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Finding the Third Proportional to 267,943,299 and 580,410,482

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Solution

The third proportional to 267,943,299 and 580,410,482 is: 1,257,267,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,943,299 : 580,410,482 = 580,410,482 : x
  2. Step 2: Convert to fraction form
    267,943,299/580,410,482 = 580,410,482/x
  3. Step 3: Cross multiply
    267,943,299x = 580,410,482 × 580,410,482
  4. Step 4: Simplify right side
    267,943,299x = 336,876,327,615,472,320
  5. Step 5: Solve for x
    x = 336,876,327,615,472,320/267,943,299
  6. Step 6: Final answer
    x = 1,257,267,223.60

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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.