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Finding the Third Proportional to 22,197,372,786 and 51,795,659,709

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Solution

The third proportional to 22,197,372,786 and 51,795,659,709 is: 120,860,715,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197,372,786 : 51,795,659,709 = 51,795,659,709 : x
  2. Step 2: Convert to fraction form
    22,197,372,786/51,795,659,709 = 51,795,659,709/x
  3. Step 3: Cross multiply
    22,197,372,786x = 51,795,659,709 × 51,795,659,709
  4. Step 4: Simplify right side
    22,197,372,786x = 2,682,790,364,690,525,978,624
  5. Step 5: Solve for x
    x = 2,682,790,364,690,525,978,624/22,197,372,786
  6. Step 6: Final answer
    x = 120,860,715,840.33

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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.