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Finding the Third Proportional to 10,093,794 and 22,206,174

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Solution

The third proportional to 10,093,794 and 22,206,174 is: 48,853,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,794 : 22,206,174 = 22,206,174 : x
  2. Step 2: Convert to fraction form
    10,093,794/22,206,174 = 22,206,174/x
  3. Step 3: Cross multiply
    10,093,794x = 22,206,174 × 22,206,174
  4. Step 4: Simplify right side
    10,093,794x = 493,114,163,718,276
  5. Step 5: Solve for x
    x = 493,114,163,718,276/10,093,794
  6. Step 6: Final answer
    x = 48,853,202.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.