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Finding the Third Proportional to 11,726,716 and 17,938,834

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Solution

The third proportional to 11,726,716 and 17,938,834 is: 27,441,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726,716 : 17,938,834 = 17,938,834 : x
  2. Step 2: Convert to fraction form
    11,726,716/17,938,834 = 17,938,834/x
  3. Step 3: Cross multiply
    11,726,716x = 17,938,834 × 17,938,834
  4. Step 4: Simplify right side
    11,726,716x = 321,801,765,279,556
  5. Step 5: Solve for x
    x = 321,801,765,279,556/11,726,716
  6. Step 6: Final answer
    x = 27,441,763.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.