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Finding the Third Proportional to 14,954,763 and 31,982,073

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Solution

The third proportional to 14,954,763 and 31,982,073 is: 68,396,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954,763 : 31,982,073 = 31,982,073 : x
  2. Step 2: Convert to fraction form
    14,954,763/31,982,073 = 31,982,073/x
  3. Step 3: Cross multiply
    14,954,763x = 31,982,073 × 31,982,073
  4. Step 4: Simplify right side
    14,954,763x = 1,022,852,993,377,329
  5. Step 5: Solve for x
    x = 1,022,852,993,377,329/14,954,763
  6. Step 6: Final answer
    x = 68,396,469.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.