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Finding the Third Proportional to 798,691,662,862 and 1,619,607,854,183

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Solution

The third proportional to 798,691,662,862 and 1,619,607,854,183 is: 3,284,283,188,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,691,662,862 : 1,619,607,854,183 = 1,619,607,854,183 : x
  2. Step 2: Convert to fraction form
    798,691,662,862/1,619,607,854,183 = 1,619,607,854,183/x
  3. Step 3: Cross multiply
    798,691,662,862x = 1,619,607,854,183 × 1,619,607,854,183
  4. Step 4: Simplify right side
    798,691,662,862x = 2,623,129,601,331,261,821,943,808
  5. Step 5: Solve for x
    x = 2,623,129,601,331,261,821,943,808/798,691,662,862
  6. Step 6: Final answer
    x = 3,284,283,188,748.51

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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.