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Finding the Third Proportional to 11,651,150 and 17,476,736

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Solution

The third proportional to 11,651,150 and 17,476,736 is: 26,215,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651,150 : 17,476,736 = 17,476,736 : x
  2. Step 2: Convert to fraction form
    11,651,150/17,476,736 = 17,476,736/x
  3. Step 3: Cross multiply
    11,651,150x = 17,476,736 × 17,476,736
  4. Step 4: Simplify right side
    11,651,150x = 305,436,301,213,696
  5. Step 5: Solve for x
    x = 305,436,301,213,696/11,651,150
  6. Step 6: Final answer
    x = 26,215,120.50

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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.