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Finding the Third Proportional to 8,399,323,398 and 17,996,695,577

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Solution

The third proportional to 8,399,323,398 and 17,996,695,577 is: 38,560,374,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,323,398 : 17,996,695,577 = 17,996,695,577 : x
  2. Step 2: Convert to fraction form
    8,399,323,398/17,996,695,577 = 17,996,695,577/x
  3. Step 3: Cross multiply
    8,399,323,398x = 17,996,695,577 × 17,996,695,577
  4. Step 4: Simplify right side
    8,399,323,398x = 323,881,051,691,211,358,208
  5. Step 5: Solve for x
    x = 323,881,051,691,211,358,208/8,399,323,398
  6. Step 6: Final answer
    x = 38,560,374,013.98

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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.