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Finding the Third Proportional to 269,273,268 and 581,061,816

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Solution

The third proportional to 269,273,268 and 581,061,816 is: 1,253,866,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,273,268 : 581,061,816 = 581,061,816 : x
  2. Step 2: Convert to fraction form
    269,273,268/581,061,816 = 581,061,816/x
  3. Step 3: Cross multiply
    269,273,268x = 581,061,816 × 581,061,816
  4. Step 4: Simplify right side
    269,273,268x = 337,632,834,013,217,856
  5. Step 5: Solve for x
    x = 337,632,834,013,217,856/269,273,268
  6. Step 6: Final answer
    x = 1,253,866,885.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.