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Finding the Third Proportional to 27,202,375 and 57,475,103

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Solution

The third proportional to 27,202,375 and 57,475,103 is: 121,437,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202,375 : 57,475,103 = 57,475,103 : x
  2. Step 2: Convert to fraction form
    27,202,375/57,475,103 = 57,475,103/x
  3. Step 3: Cross multiply
    27,202,375x = 57,475,103 × 57,475,103
  4. Step 4: Simplify right side
    27,202,375x = 3,303,387,464,860,609
  5. Step 5: Solve for x
    x = 3,303,387,464,860,609/27,202,375
  6. Step 6: Final answer
    x = 121,437,465.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.