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Finding the Third Proportional to 7,190,676 and 10,114,198

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Solution

The third proportional to 7,190,676 and 10,114,198 is: 14,226,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190,676 : 10,114,198 = 10,114,198 : x
  2. Step 2: Convert to fraction form
    7,190,676/10,114,198 = 10,114,198/x
  3. Step 3: Cross multiply
    7,190,676x = 10,114,198 × 10,114,198
  4. Step 4: Simplify right side
    7,190,676x = 102,297,001,183,204
  5. Step 5: Solve for x
    x = 102,297,001,183,204/7,190,676
  6. Step 6: Final answer
    x = 14,226,339.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.