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Finding the Third Proportional to 7,646,067 and 11,580,183

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Solution

The third proportional to 7,646,067 and 11,580,183 is: 17,538,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646,067 : 11,580,183 = 11,580,183 : x
  2. Step 2: Convert to fraction form
    7,646,067/11,580,183 = 11,580,183/x
  3. Step 3: Cross multiply
    7,646,067x = 11,580,183 × 11,580,183
  4. Step 4: Simplify right side
    7,646,067x = 134,100,638,313,489
  5. Step 5: Solve for x
    x = 134,100,638,313,489/7,646,067
  6. Step 6: Final answer
    x = 17,538,512.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.