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Finding the Third Proportional to 11,769,940.41 and 24,940,039.22

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Solution

The third proportional to 11,769,940.41 and 24,940,039.22 is: 52,846,958.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769,940.41 : 24,940,039.22 = 24,940,039.22 : x
  2. Step 2: Convert to fraction form
    11,769,940.41/24,940,039.22 = 24,940,039.22/x
  3. Step 3: Cross multiply
    11,769,940.41x = 24,940,039.22 × 24,940,039.22
  4. Step 4: Simplify right side
    11,769,940.41x = 622,005,556,232,788.12
  5. Step 5: Solve for x
    x = 622,005,556,232,788.12/11,769,940.41
  6. Step 6: Final answer
    x = 52,846,958.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.