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Finding the Third Proportional to 64,743,198 and 135,471,972

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Solution

The third proportional to 64,743,198 and 135,471,972 is: 283,468,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743,198 : 135,471,972 = 135,471,972 : x
  2. Step 2: Convert to fraction form
    64,743,198/135,471,972 = 135,471,972/x
  3. Step 3: Cross multiply
    64,743,198x = 135,471,972 × 135,471,972
  4. Step 4: Simplify right side
    64,743,198x = 18,352,655,197,568,784
  5. Step 5: Solve for x
    x = 18,352,655,197,568,784/64,743,198
  6. Step 6: Final answer
    x = 283,468,468.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.