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Finding the Third Proportional to 1,687,527,108 and 3,701,805,138

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Solution

The third proportional to 1,687,527,108 and 3,701,805,138 is: 8,120,379,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,527,108 : 3,701,805,138 = 3,701,805,138 : x
  2. Step 2: Convert to fraction form
    1,687,527,108/3,701,805,138 = 3,701,805,138/x
  3. Step 3: Cross multiply
    1,687,527,108x = 3,701,805,138 × 3,701,805,138
  4. Step 4: Simplify right side
    1,687,527,108x = 13,703,361,279,723,198,464
  5. Step 5: Solve for x
    x = 13,703,361,279,723,198,464/1,687,527,108
  6. Step 6: Final answer
    x = 8,120,379,942.20

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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.