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Finding the Third Proportional to 14,119,892 and 30,829,204

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Solution

The third proportional to 14,119,892 and 30,829,204 is: 67,312,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119,892 : 30,829,204 = 30,829,204 : x
  2. Step 2: Convert to fraction form
    14,119,892/30,829,204 = 30,829,204/x
  3. Step 3: Cross multiply
    14,119,892x = 30,829,204 × 30,829,204
  4. Step 4: Simplify right side
    14,119,892x = 950,439,819,273,616
  5. Step 5: Solve for x
    x = 950,439,819,273,616/14,119,892
  6. Step 6: Final answer
    x = 67,312,116.78

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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.