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Finding the Third Proportional to 7,837,223 and 16,982,286

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Solution

The third proportional to 7,837,223 and 16,982,286 is: 36,798,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,223 : 16,982,286 = 16,982,286 : x
  2. Step 2: Convert to fraction form
    7,837,223/16,982,286 = 16,982,286/x
  3. Step 3: Cross multiply
    7,837,223x = 16,982,286 × 16,982,286
  4. Step 4: Simplify right side
    7,837,223x = 288,398,037,785,796
  5. Step 5: Solve for x
    x = 288,398,037,785,796/7,837,223
  6. Step 6: Final answer
    x = 36,798,498.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.