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Finding the Third Proportional to 2,965,375.50 and 6,474,499.50

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Solution

The third proportional to 2,965,375.50 and 6,474,499.50 is: 14,136,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,375.50 : 6,474,499.50 = 6,474,499.50 : x
  2. Step 2: Convert to fraction form
    2,965,375.50/6,474,499.50 = 6,474,499.50/x
  3. Step 3: Cross multiply
    2,965,375.50x = 6,474,499.50 × 6,474,499.50
  4. Step 4: Simplify right side
    2,965,375.50x = 41,919,143,775,500.25
  5. Step 5: Solve for x
    x = 41,919,143,775,500.25/2,965,375.50
  6. Step 6: Final answer
    x = 14,136,200.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.