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Finding the Third Proportional to 6,184,928 and 9,942,238

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Solution

The third proportional to 6,184,928 and 9,942,238 is: 15,982,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,928 : 9,942,238 = 9,942,238 : x
  2. Step 2: Convert to fraction form
    6,184,928/9,942,238 = 9,942,238/x
  3. Step 3: Cross multiply
    6,184,928x = 9,942,238 × 9,942,238
  4. Step 4: Simplify right side
    6,184,928x = 98,848,096,448,644
  5. Step 5: Solve for x
    x = 98,848,096,448,644/6,184,928
  6. Step 6: Final answer
    x = 15,982,093.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.