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Finding the Third Proportional to 17,729,037 and 38,821,097.81

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Solution

The third proportional to 17,729,037 and 38,821,097.81 is: 85,006,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729,037 : 38,821,097.81 = 38,821,097.81 : x
  2. Step 2: Convert to fraction form
    17,729,037/38,821,097.81 = 38,821,097.81/x
  3. Step 3: Cross multiply
    17,729,037x = 38,821,097.81 × 38,821,097.81
  4. Step 4: Simplify right side
    17,729,037x = 1,507,077,635,367,692.25
  5. Step 5: Solve for x
    x = 1,507,077,635,367,692.25/17,729,037
  6. Step 6: Final answer
    x = 85,006,175.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.