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Finding the Third Proportional to 27,489,074 and 40,392,147

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Solution

The third proportional to 27,489,074 and 40,392,147 is: 59,351,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489,074 : 40,392,147 = 40,392,147 : x
  2. Step 2: Convert to fraction form
    27,489,074/40,392,147 = 40,392,147/x
  3. Step 3: Cross multiply
    27,489,074x = 40,392,147 × 40,392,147
  4. Step 4: Simplify right side
    27,489,074x = 1,631,525,539,269,609
  5. Step 5: Solve for x
    x = 1,631,525,539,269,609/27,489,074
  6. Step 6: Final answer
    x = 59,351,782.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.