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Finding the Third Proportional to 4,194,085 and 9,173,177

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Solution

The third proportional to 4,194,085 and 9,173,177 is: 20,063,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,085 : 9,173,177 = 9,173,177 : x
  2. Step 2: Convert to fraction form
    4,194,085/9,173,177 = 9,173,177/x
  3. Step 3: Cross multiply
    4,194,085x = 9,173,177 × 9,173,177
  4. Step 4: Simplify right side
    4,194,085x = 84,147,176,273,329
  5. Step 5: Solve for x
    x = 84,147,176,273,329/4,194,085
  6. Step 6: Final answer
    x = 20,063,297.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.