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Finding the Third Proportional to 22,197,372,772 and 51,795,659,671

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Solution

The third proportional to 22,197,372,772 and 51,795,659,671 is: 120,860,715,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197,372,772 : 51,795,659,671 = 51,795,659,671 : x
  2. Step 2: Convert to fraction form
    22,197,372,772/51,795,659,671 = 51,795,659,671/x
  3. Step 3: Cross multiply
    22,197,372,772x = 51,795,659,671 × 51,795,659,671
  4. Step 4: Simplify right side
    22,197,372,772x = 2,682,790,360,754,055,806,976
  5. Step 5: Solve for x
    x = 2,682,790,360,754,055,806,976/22,197,372,772
  6. Step 6: Final answer
    x = 120,860,715,739.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.