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Finding the Third Proportional to 241,761,676,282.88 and 517,485,122,885.79

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Solution

The third proportional to 241,761,676,282.88 and 517,485,122,885.79 is: 1,107,664,608,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,761,676,282.88 : 517,485,122,885.79 = 517,485,122,885.79 : x
  2. Step 2: Convert to fraction form
    241,761,676,282.88/517,485,122,885.79 = 517,485,122,885.79/x
  3. Step 3: Cross multiply
    241,761,676,282.88x = 517,485,122,885.79 × 517,485,122,885.79
  4. Step 4: Simplify right side
    241,761,676,282.88x = 267,790,852,408,121,145,425,920
  5. Step 5: Solve for x
    x = 267,790,852,408,121,145,425,920/241,761,676,282.88
  6. Step 6: Final answer
    x = 1,107,664,608,077.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.