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Finding the Third Proportional to 269,629,316 and 580,910,458

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Solution

The third proportional to 269,629,316 and 580,910,458 is: 1,251,558,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,629,316 : 580,910,458 = 580,910,458 : x
  2. Step 2: Convert to fraction form
    269,629,316/580,910,458 = 580,910,458/x
  3. Step 3: Cross multiply
    269,629,316x = 580,910,458 × 580,910,458
  4. Step 4: Simplify right side
    269,629,316x = 337,456,960,213,769,792
  5. Step 5: Solve for x
    x = 337,456,960,213,769,792/269,629,316
  6. Step 6: Final answer
    x = 1,251,558,863.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.