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Finding the Third Proportional to 7,647,836 and 16,644,376

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Solution

The third proportional to 7,647,836 and 16,644,376 is: 36,224,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,836 : 16,644,376 = 16,644,376 : x
  2. Step 2: Convert to fraction form
    7,647,836/16,644,376 = 16,644,376/x
  3. Step 3: Cross multiply
    7,647,836x = 16,644,376 × 16,644,376
  4. Step 4: Simplify right side
    7,647,836x = 277,035,252,429,376
  5. Step 5: Solve for x
    x = 277,035,252,429,376/7,647,836
  6. Step 6: Final answer
    x = 36,224,005.38

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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.