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Finding the Third Proportional to 381,542,922.50 and 826,471,341

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Solution

The third proportional to 381,542,922.50 and 826,471,341 is: 1,790,243,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,542,922.50 : 826,471,341 = 826,471,341 : x
  2. Step 2: Convert to fraction form
    381,542,922.50/826,471,341 = 826,471,341/x
  3. Step 3: Cross multiply
    381,542,922.50x = 826,471,341 × 826,471,341
  4. Step 4: Simplify right side
    381,542,922.50x = 683,054,877,494,338,304
  5. Step 5: Solve for x
    x = 683,054,877,494,338,304/381,542,922.50
  6. Step 6: Final answer
    x = 1,790,243,868.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.