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Finding the Third Proportional to 5,718,195.75 and 11,740,794

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Solution

The third proportional to 5,718,195.75 and 11,740,794 is: 24,106,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718,195.75 : 11,740,794 = 11,740,794 : x
  2. Step 2: Convert to fraction form
    5,718,195.75/11,740,794 = 11,740,794/x
  3. Step 3: Cross multiply
    5,718,195.75x = 11,740,794 × 11,740,794
  4. Step 4: Simplify right side
    5,718,195.75x = 137,846,243,750,436
  5. Step 5: Solve for x
    x = 137,846,243,750,436/5,718,195.75
  6. Step 6: Final answer
    x = 24,106,597.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.