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Finding the Third Proportional to 7,647,834 and 16,644,372

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Solution

The third proportional to 7,647,834 and 16,644,372 is: 36,223,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,834 : 16,644,372 = 16,644,372 : x
  2. Step 2: Convert to fraction form
    7,647,834/16,644,372 = 16,644,372/x
  3. Step 3: Cross multiply
    7,647,834x = 16,644,372 × 16,644,372
  4. Step 4: Simplify right side
    7,647,834x = 277,035,119,274,384
  5. Step 5: Solve for x
    x = 277,035,119,274,384/7,647,834
  6. Step 6: Final answer
    x = 36,223,997.44

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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.