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Finding the Third Proportional to 27,794,349 and 40,097,016

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Solution

The third proportional to 27,794,349 and 40,097,016 is: 57,845,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794,349 : 40,097,016 = 40,097,016 : x
  2. Step 2: Convert to fraction form
    27,794,349/40,097,016 = 40,097,016/x
  3. Step 3: Cross multiply
    27,794,349x = 40,097,016 × 40,097,016
  4. Step 4: Simplify right side
    27,794,349x = 1,607,770,692,104,256
  5. Step 5: Solve for x
    x = 1,607,770,692,104,256/27,794,349
  6. Step 6: Final answer
    x = 57,845,236.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.