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Finding the Third Proportional to 3,738,350.50 and 5,601,307.50

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Solution

The third proportional to 3,738,350.50 and 5,601,307.50 is: 8,392,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,350.50 : 5,601,307.50 = 5,601,307.50 : x
  2. Step 2: Convert to fraction form
    3,738,350.50/5,601,307.50 = 5,601,307.50/x
  3. Step 3: Cross multiply
    3,738,350.50x = 5,601,307.50 × 5,601,307.50
  4. Step 4: Simplify right side
    3,738,350.50x = 31,374,645,709,556.25
  5. Step 5: Solve for x
    x = 31,374,645,709,556.25/3,738,350.50
  6. Step 6: Final answer
    x = 8,392,644.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.