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Finding the Third Proportional to 11,651,287 and 17,476,923.75

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Solution

The third proportional to 11,651,287 and 17,476,923.75 is: 26,215,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651,287 : 17,476,923.75 = 17,476,923.75 : x
  2. Step 2: Convert to fraction form
    11,651,287/17,476,923.75 = 17,476,923.75/x
  3. Step 3: Cross multiply
    11,651,287x = 17,476,923.75 × 17,476,923.75
  4. Step 4: Simplify right side
    11,651,287x = 305,442,863,763,314.06
  5. Step 5: Solve for x
    x = 305,442,863,763,314.06/11,651,287
  6. Step 6: Final answer
    x = 26,215,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.