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Finding the Third Proportional to 6,184,242 and 9,247,932

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Solution

The third proportional to 6,184,242 and 9,247,932 is: 13,829,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184,242 : 9,247,932 = 9,247,932 : x
  2. Step 2: Convert to fraction form
    6,184,242/9,247,932 = 9,247,932/x
  3. Step 3: Cross multiply
    6,184,242x = 9,247,932 × 9,247,932
  4. Step 4: Simplify right side
    6,184,242x = 85,524,246,276,624
  5. Step 5: Solve for x
    x = 85,524,246,276,624/6,184,242
  6. Step 6: Final answer
    x = 13,829,382.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.