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Finding the Third Proportional to 2,473,135 and 5,211,949

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Solution

The third proportional to 2,473,135 and 5,211,949 is: 10,983,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,135 : 5,211,949 = 5,211,949 : x
  2. Step 2: Convert to fraction form
    2,473,135/5,211,949 = 5,211,949/x
  3. Step 3: Cross multiply
    2,473,135x = 5,211,949 × 5,211,949
  4. Step 4: Simplify right side
    2,473,135x = 27,164,412,378,601
  5. Step 5: Solve for x
    x = 27,164,412,378,601/2,473,135
  6. Step 6: Final answer
    x = 10,983,796.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.