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Finding the Third Proportional to 10,491,444 and 16,682,382

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Solution

The third proportional to 10,491,444 and 16,682,382 is: 26,526,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,444 : 16,682,382 = 16,682,382 : x
  2. Step 2: Convert to fraction form
    10,491,444/16,682,382 = 16,682,382/x
  3. Step 3: Cross multiply
    10,491,444x = 16,682,382 × 16,682,382
  4. Step 4: Simplify right side
    10,491,444x = 278,301,869,193,924
  5. Step 5: Solve for x
    x = 278,301,869,193,924/10,491,444
  6. Step 6: Final answer
    x = 26,526,555.28

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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.