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Finding the Third Proportional to 150,930,626,832 and 323,063,419,680

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Solution

The third proportional to 150,930,626,832 and 323,063,419,680 is: 691,509,571,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930,626,832 : 323,063,419,680 = 323,063,419,680 : x
  2. Step 2: Convert to fraction form
    150,930,626,832/323,063,419,680 = 323,063,419,680/x
  3. Step 3: Cross multiply
    150,930,626,832x = 323,063,419,680 × 323,063,419,680
  4. Step 4: Simplify right side
    150,930,626,832x = 104,369,973,135,335,818,788,864
  5. Step 5: Solve for x
    x = 104,369,973,135,335,818,788,864/150,930,626,832
  6. Step 6: Final answer
    x = 691,509,571,821.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.