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Finding the Third Proportional to 6,783,228 and 14,786,086

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Solution

The third proportional to 6,783,228 and 14,786,086 is: 32,230,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,228 : 14,786,086 = 14,786,086 : x
  2. Step 2: Convert to fraction form
    6,783,228/14,786,086 = 14,786,086/x
  3. Step 3: Cross multiply
    6,783,228x = 14,786,086 × 14,786,086
  4. Step 4: Simplify right side
    6,783,228x = 218,628,339,199,396
  5. Step 5: Solve for x
    x = 218,628,339,199,396/6,783,228
  6. Step 6: Final answer
    x = 32,230,722.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.