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Finding the Third Proportional to 9,409,968 and 20,412,864

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Solution

The third proportional to 9,409,968 and 20,412,864 is: 44,281,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409,968 : 20,412,864 = 20,412,864 : x
  2. Step 2: Convert to fraction form
    9,409,968/20,412,864 = 20,412,864/x
  3. Step 3: Cross multiply
    9,409,968x = 20,412,864 × 20,412,864
  4. Step 4: Simplify right side
    9,409,968x = 416,685,016,682,496
  5. Step 5: Solve for x
    x = 416,685,016,682,496/9,409,968
  6. Step 6: Final answer
    x = 44,281,236.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.