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Finding the Third Proportional to 22,197,372,788 and 51,795,659,714

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Solution

The third proportional to 22,197,372,788 and 51,795,659,714 is: 120,860,715,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197,372,788 : 51,795,659,714 = 51,795,659,714 : x
  2. Step 2: Convert to fraction form
    22,197,372,788/51,795,659,714 = 51,795,659,714/x
  3. Step 3: Cross multiply
    22,197,372,788x = 51,795,659,714 × 51,795,659,714
  4. Step 4: Simplify right side
    22,197,372,788x = 2,682,790,365,208,482,676,736
  5. Step 5: Solve for x
    x = 2,682,790,365,208,482,676,736/22,197,372,788
  6. Step 6: Final answer
    x = 120,860,715,852.77

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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.