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Finding the Third Proportional to 27,794,344 and 40,097,010

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Solution

The third proportional to 27,794,344 and 40,097,010 is: 57,845,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794,344 : 40,097,010 = 40,097,010 : x
  2. Step 2: Convert to fraction form
    27,794,344/40,097,010 = 40,097,010/x
  3. Step 3: Cross multiply
    27,794,344x = 40,097,010 × 40,097,010
  4. Step 4: Simplify right side
    27,794,344x = 1,607,770,210,940,100
  5. Step 5: Solve for x
    x = 1,607,770,210,940,100/27,794,344
  6. Step 6: Final answer
    x = 57,845,229.62

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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.