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Finding the Third Proportional to 26,451,309,071 and 57,110,446,606

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Solution

The third proportional to 26,451,309,071 and 57,110,446,606 is: 123,305,924,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,451,309,071 : 57,110,446,606 = 57,110,446,606 : x
  2. Step 2: Convert to fraction form
    26,451,309,071/57,110,446,606 = 57,110,446,606/x
  3. Step 3: Cross multiply
    26,451,309,071x = 57,110,446,606 × 57,110,446,606
  4. Step 4: Simplify right side
    26,451,309,071x = 3,261,603,111,536,776,708,096
  5. Step 5: Solve for x
    x = 3,261,603,111,536,776,708,096/26,451,309,071
  6. Step 6: Final answer
    x = 123,305,924,208.97

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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.