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Finding the Third Proportional to 9,183,200 and 20,019,868

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Solution

The third proportional to 9,183,200 and 20,019,868 is: 43,644,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183,200 : 20,019,868 = 20,019,868 : x
  2. Step 2: Convert to fraction form
    9,183,200/20,019,868 = 20,019,868/x
  3. Step 3: Cross multiply
    9,183,200x = 20,019,868 × 20,019,868
  4. Step 4: Simplify right side
    9,183,200x = 400,795,114,737,424
  5. Step 5: Solve for x
    x = 400,795,114,737,424/9,183,200
  6. Step 6: Final answer
    x = 43,644,384.83

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Why These Related Problems?

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