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Finding the Third Proportional to 27,844,074 and 43,026,147

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Solution

The third proportional to 27,844,074 and 43,026,147 is: 66,486,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844,074 : 43,026,147 = 43,026,147 : x
  2. Step 2: Convert to fraction form
    27,844,074/43,026,147 = 43,026,147/x
  3. Step 3: Cross multiply
    27,844,074x = 43,026,147 × 43,026,147
  4. Step 4: Simplify right side
    27,844,074x = 1,851,249,325,665,609
  5. Step 5: Solve for x
    x = 1,851,249,325,665,609/27,844,074
  6. Step 6: Final answer
    x = 66,486,295.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.