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Finding the Third Proportional to 10,491,450 and 16,682,391

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Solution

The third proportional to 10,491,450 and 16,682,391 is: 26,526,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,450 : 16,682,391 = 16,682,391 : x
  2. Step 2: Convert to fraction form
    10,491,450/16,682,391 = 16,682,391/x
  3. Step 3: Cross multiply
    10,491,450x = 16,682,391 × 16,682,391
  4. Step 4: Simplify right side
    10,491,450x = 278,302,169,476,881
  5. Step 5: Solve for x
    x = 278,302,169,476,881/10,491,450
  6. Step 6: Final answer
    x = 26,526,568.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.