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Finding the Third Proportional to 8,399,323,381 and 17,996,695,544

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Solution

The third proportional to 8,399,323,381 and 17,996,695,544 is: 38,560,373,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,323,381 : 17,996,695,544 = 17,996,695,544 : x
  2. Step 2: Convert to fraction form
    8,399,323,381/17,996,695,544 = 17,996,695,544/x
  3. Step 3: Cross multiply
    8,399,323,381x = 17,996,695,544 × 17,996,695,544
  4. Step 4: Simplify right side
    8,399,323,381x = 323,881,050,503,429,488,640
  5. Step 5: Solve for x
    x = 323,881,050,503,429,488,640/8,399,323,381
  6. Step 6: Final answer
    x = 38,560,373,950.61

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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.