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Finding the Third Proportional to 11,382,549 and 16,647,921

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Solution

The third proportional to 11,382,549 and 16,647,921 is: 24,348,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382,549 : 16,647,921 = 16,647,921 : x
  2. Step 2: Convert to fraction form
    11,382,549/16,647,921 = 16,647,921/x
  3. Step 3: Cross multiply
    11,382,549x = 16,647,921 × 16,647,921
  4. Step 4: Simplify right side
    11,382,549x = 277,153,273,622,241
  5. Step 5: Solve for x
    x = 277,153,273,622,241/11,382,549
  6. Step 6: Final answer
    x = 24,348,963.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.