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Finding the Third Proportional to 22,104,578.25 and 47,568,388.50

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Solution

The third proportional to 22,104,578.25 and 47,568,388.50 is: 102,365,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,104,578.25 : 47,568,388.50 = 47,568,388.50 : x
  2. Step 2: Convert to fraction form
    22,104,578.25/47,568,388.50 = 47,568,388.50/x
  3. Step 3: Cross multiply
    22,104,578.25x = 47,568,388.50 × 47,568,388.50
  4. Step 4: Simplify right side
    22,104,578.25x = 2,262,751,584,486,932
  5. Step 5: Solve for x
    x = 2,262,751,584,486,932/22,104,578.25
  6. Step 6: Final answer
    x = 102,365,743.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.