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Finding the Third Proportional to 5,192,241,120 and 11,171,782,692

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Solution

The third proportional to 5,192,241,120 and 11,171,782,692 is: 24,037,544,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192,241,120 : 11,171,782,692 = 11,171,782,692 : x
  2. Step 2: Convert to fraction form
    5,192,241,120/11,171,782,692 = 11,171,782,692/x
  3. Step 3: Cross multiply
    5,192,241,120x = 11,171,782,692 × 11,171,782,692
  4. Step 4: Simplify right side
    5,192,241,120x = 124,808,728,517,270,765,568
  5. Step 5: Solve for x
    x = 124,808,728,517,270,765,568/5,192,241,120
  6. Step 6: Final answer
    x = 24,037,544,796.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.