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Finding the Third Proportional to 798,691,662,858 and 1,619,607,854,175

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Solution

The third proportional to 798,691,662,858 and 1,619,607,854,175 is: 3,284,283,188,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,691,662,858 : 1,619,607,854,175 = 1,619,607,854,175 : x
  2. Step 2: Convert to fraction form
    798,691,662,858/1,619,607,854,175 = 1,619,607,854,175/x
  3. Step 3: Cross multiply
    798,691,662,858x = 1,619,607,854,175 × 1,619,607,854,175
  4. Step 4: Simplify right side
    798,691,662,858x = 2,623,129,601,305,348,136,763,392
  5. Step 5: Solve for x
    x = 2,623,129,601,305,348,136,763,392/798,691,662,858
  6. Step 6: Final answer
    x = 3,284,283,188,732.52

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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.