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Finding the Third Proportional to 269,619,690 and 580,770,510

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Solution

The third proportional to 269,619,690 and 580,770,510 is: 1,251,000,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,619,690 : 580,770,510 = 580,770,510 : x
  2. Step 2: Convert to fraction form
    269,619,690/580,770,510 = 580,770,510/x
  3. Step 3: Cross multiply
    269,619,690x = 580,770,510 × 580,770,510
  4. Step 4: Simplify right side
    269,619,690x = 337,294,385,285,660,096
  5. Step 5: Solve for x
    x = 337,294,385,285,660,096/269,619,690
  6. Step 6: Final answer
    x = 1,251,000,567.82

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