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Finding the Third Proportional to 850,242,162,934 and 1,873,790,761,414

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Solution

The third proportional to 850,242,162,934 and 1,873,790,761,414 is: 4,129,519,765,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,242,162,934 : 1,873,790,761,414 = 1,873,790,761,414 : x
  2. Step 2: Convert to fraction form
    850,242,162,934/1,873,790,761,414 = 1,873,790,761,414/x
  3. Step 3: Cross multiply
    850,242,162,934x = 1,873,790,761,414 × 1,873,790,761,414
  4. Step 4: Simplify right side
    850,242,162,934x = 3,511,091,817,560,457,758,113,792
  5. Step 5: Solve for x
    x = 3,511,091,817,560,457,758,113,792/850,242,162,934
  6. Step 6: Final answer
    x = 4,129,519,765,809.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.