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Finding the Third Proportional to 3,846,102.50 and 8,207,041

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Solution

The third proportional to 3,846,102.50 and 8,207,041 is: 17,512,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,102.50 : 8,207,041 = 8,207,041 : x
  2. Step 2: Convert to fraction form
    3,846,102.50/8,207,041 = 8,207,041/x
  3. Step 3: Cross multiply
    3,846,102.50x = 8,207,041 × 8,207,041
  4. Step 4: Simplify right side
    3,846,102.50x = 67,355,521,975,681
  5. Step 5: Solve for x
    x = 67,355,521,975,681/3,846,102.50
  6. Step 6: Final answer
    x = 17,512,669.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.