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Finding the Third Proportional to 2,690,342,749 and 3,786,944,529

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Solution

The third proportional to 2,690,342,749 and 3,786,944,529 is: 5,330,528,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690,342,749 : 3,786,944,529 = 3,786,944,529 : x
  2. Step 2: Convert to fraction form
    2,690,342,749/3,786,944,529 = 3,786,944,529/x
  3. Step 3: Cross multiply
    2,690,342,749x = 3,786,944,529 × 3,786,944,529
  4. Step 4: Simplify right side
    2,690,342,749x = 14,340,948,865,723,031,552
  5. Step 5: Solve for x
    x = 14,340,948,865,723,031,552/2,690,342,749
  6. Step 6: Final answer
    x = 5,330,528,562.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.