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Finding the Third Proportional to 6,184,923 and 9,942,230.25

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Solution

The third proportional to 6,184,923 and 9,942,230.25 is: 15,982,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,923 : 9,942,230.25 = 9,942,230.25 : x
  2. Step 2: Convert to fraction form
    6,184,923/9,942,230.25 = 9,942,230.25/x
  3. Step 3: Cross multiply
    6,184,923x = 9,942,230.25 × 9,942,230.25
  4. Step 4: Simplify right side
    6,184,923x = 98,847,942,344,015.06
  5. Step 5: Solve for x
    x = 98,847,942,344,015.06/6,184,923
  6. Step 6: Final answer
    x = 15,982,081.32

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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.