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Finding the Third Proportional to 12,183,784 and 16,172,875

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Solution

The third proportional to 12,183,784 and 16,172,875 is: 21,468,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183,784 : 16,172,875 = 16,172,875 : x
  2. Step 2: Convert to fraction form
    12,183,784/16,172,875 = 16,172,875/x
  3. Step 3: Cross multiply
    12,183,784x = 16,172,875 × 16,172,875
  4. Step 4: Simplify right side
    12,183,784x = 261,561,885,765,625
  5. Step 5: Solve for x
    x = 261,561,885,765,625/12,183,784
  6. Step 6: Final answer
    x = 21,468,033.72

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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.