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Finding the Third Proportional to 272,427,302 and 422,995,449

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Solution

The third proportional to 272,427,302 and 422,995,449 is: 656,781,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,302 : 422,995,449 = 422,995,449 : x
  2. Step 2: Convert to fraction form
    272,427,302/422,995,449 = 422,995,449/x
  3. Step 3: Cross multiply
    272,427,302x = 422,995,449 × 422,995,449
  4. Step 4: Simplify right side
    272,427,302x = 178,925,149,874,711,616
  5. Step 5: Solve for x
    x = 178,925,149,874,711,616/272,427,302
  6. Step 6: Final answer
    x = 656,781,271.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.