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Finding the Third Proportional to 48,381,127,842 and 67,270,091,067

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Solution

The third proportional to 48,381,127,842 and 67,270,091,067 is: 93,533,684,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,381,127,842 : 67,270,091,067 = 67,270,091,067 : x
  2. Step 2: Convert to fraction form
    48,381,127,842/67,270,091,067 = 67,270,091,067/x
  3. Step 3: Cross multiply
    48,381,127,842x = 67,270,091,067 × 67,270,091,067
  4. Step 4: Simplify right side
    48,381,127,842x = 4,525,265,152,162,473,181,184
  5. Step 5: Solve for x
    x = 4,525,265,152,162,473,181,184/48,381,127,842
  6. Step 6: Final answer
    x = 93,533,684,599.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.