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Finding the Third Proportional to 4,599,858,197.25 and 10,005,659,149.13

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Solution

The third proportional to 4,599,858,197.25 and 10,005,659,149.13 is: 21,764,413,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,858,197.25 : 10,005,659,149.13 = 10,005,659,149.13 : x
  2. Step 2: Convert to fraction form
    4,599,858,197.25/10,005,659,149.13 = 10,005,659,149.13/x
  3. Step 3: Cross multiply
    4,599,858,197.25x = 10,005,659,149.13 × 10,005,659,149.13
  4. Step 4: Simplify right side
    4,599,858,197.25x = 100,113,215,008,468,811,776
  5. Step 5: Solve for x
    x = 100,113,215,008,468,811,776/4,599,858,197.25
  6. Step 6: Final answer
    x = 21,764,413,317.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.