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Finding the Third Proportional to 7,647,832 and 16,644,368

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Solution

The third proportional to 7,647,832 and 16,644,368 is: 36,223,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,832 : 16,644,368 = 16,644,368 : x
  2. Step 2: Convert to fraction form
    7,647,832/16,644,368 = 16,644,368/x
  3. Step 3: Cross multiply
    7,647,832x = 16,644,368 × 16,644,368
  4. Step 4: Simplify right side
    7,647,832x = 277,034,986,119,424
  5. Step 5: Solve for x
    x = 277,034,986,119,424/7,647,832
  6. Step 6: Final answer
    x = 36,223,989.51

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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.