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Finding the Third Proportional to 798,691,662,864 and 1,619,607,854,187

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Solution

The third proportional to 798,691,662,864 and 1,619,607,854,187 is: 3,284,283,188,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,691,662,864 : 1,619,607,854,187 = 1,619,607,854,187 : x
  2. Step 2: Convert to fraction form
    798,691,662,864/1,619,607,854,187 = 1,619,607,854,187/x
  3. Step 3: Cross multiply
    798,691,662,864x = 1,619,607,854,187 × 1,619,607,854,187
  4. Step 4: Simplify right side
    798,691,662,864x = 2,623,129,601,344,218,664,534,016
  5. Step 5: Solve for x
    x = 2,623,129,601,344,218,664,534,016/798,691,662,864
  6. Step 6: Final answer
    x = 3,284,283,188,756.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.