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Finding the Third Proportional to 269,691,426 and 591,876,996

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Solution

The third proportional to 269,691,426 and 591,876,996 is: 1,298,960,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,691,426 : 591,876,996 = 591,876,996 : x
  2. Step 2: Convert to fraction form
    269,691,426/591,876,996 = 591,876,996/x
  3. Step 3: Cross multiply
    269,691,426x = 591,876,996 × 591,876,996
  4. Step 4: Simplify right side
    269,691,426x = 350,318,378,393,984,000
  5. Step 5: Solve for x
    x = 350,318,378,393,984,000/269,691,426
  6. Step 6: Final answer
    x = 1,298,960,013.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.