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Finding the Third Proportional to 4,946,227,862 and 10,667,274,832

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Solution

The third proportional to 4,946,227,862 and 10,667,274,832 is: 23,005,562,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,227,862 : 10,667,274,832 = 10,667,274,832 : x
  2. Step 2: Convert to fraction form
    4,946,227,862/10,667,274,832 = 10,667,274,832/x
  3. Step 3: Cross multiply
    4,946,227,862x = 10,667,274,832 × 10,667,274,832
  4. Step 4: Simplify right side
    4,946,227,862x = 113,790,752,341,420,621,824
  5. Step 5: Solve for x
    x = 113,790,752,341,420,621,824/4,946,227,862
  6. Step 6: Final answer
    x = 23,005,562,120.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.