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Finding the Third Proportional to 5,296,198.50 and 8,183,835

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Solution

The third proportional to 5,296,198.50 and 8,183,835 is: 12,645,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,198.50 : 8,183,835 = 8,183,835 : x
  2. Step 2: Convert to fraction form
    5,296,198.50/8,183,835 = 8,183,835/x
  3. Step 3: Cross multiply
    5,296,198.50x = 8,183,835 × 8,183,835
  4. Step 4: Simplify right side
    5,296,198.50x = 66,975,155,307,225
  5. Step 5: Solve for x
    x = 66,975,155,307,225/5,296,198.50
  6. Step 6: Final answer
    x = 12,645,892.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.