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Finding the Third Proportional to 12,183,777 and 16,172,865

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Solution

The third proportional to 12,183,777 and 16,172,865 is: 21,468,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183,777 : 16,172,865 = 16,172,865 : x
  2. Step 2: Convert to fraction form
    12,183,777/16,172,865 = 16,172,865/x
  3. Step 3: Cross multiply
    12,183,777x = 16,172,865 × 16,172,865
  4. Step 4: Simplify right side
    12,183,777x = 261,561,562,308,225
  5. Step 5: Solve for x
    x = 261,561,562,308,225/12,183,777
  6. Step 6: Final answer
    x = 21,468,019.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.