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Finding the Third Proportional to 8,399,323,379 and 17,996,695,540

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Solution

The third proportional to 8,399,323,379 and 17,996,695,540 is: 38,560,373,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,323,379 : 17,996,695,540 = 17,996,695,540 : x
  2. Step 2: Convert to fraction form
    8,399,323,379/17,996,695,540 = 17,996,695,540/x
  3. Step 3: Cross multiply
    8,399,323,379x = 17,996,695,540 × 17,996,695,540
  4. Step 4: Simplify right side
    8,399,323,379x = 323,881,050,359,455,875,072
  5. Step 5: Solve for x
    x = 323,881,050,359,455,875,072/8,399,323,379
  6. Step 6: Final answer
    x = 38,560,373,942.65

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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.