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Finding the Third Proportional to 27,794,342 and 40,097,008

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Solution

The third proportional to 27,794,342 and 40,097,008 is: 57,845,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794,342 : 40,097,008 = 40,097,008 : x
  2. Step 2: Convert to fraction form
    27,794,342/40,097,008 = 40,097,008/x
  3. Step 3: Cross multiply
    27,794,342x = 40,097,008 × 40,097,008
  4. Step 4: Simplify right side
    27,794,342x = 1,607,770,050,552,064
  5. Step 5: Solve for x
    x = 1,607,770,050,552,064/27,794,342
  6. Step 6: Final answer
    x = 57,845,228.02

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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.