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Finding the Third Proportional to 3,682,975.50 and 5,575,401

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Solution

The third proportional to 3,682,975.50 and 5,575,401 is: 8,440,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,975.50 : 5,575,401 = 5,575,401 : x
  2. Step 2: Convert to fraction form
    3,682,975.50/5,575,401 = 5,575,401/x
  3. Step 3: Cross multiply
    3,682,975.50x = 5,575,401 × 5,575,401
  4. Step 4: Simplify right side
    3,682,975.50x = 31,085,096,310,801
  5. Step 5: Solve for x
    x = 31,085,096,310,801/3,682,975.50
  6. Step 6: Final answer
    x = 8,440,212.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.