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Finding the Third Proportional to 9,600,400 and 13,504,152

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Solution

The third proportional to 9,600,400 and 13,504,152 is: 18,995,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600,400 : 13,504,152 = 13,504,152 : x
  2. Step 2: Convert to fraction form
    9,600,400/13,504,152 = 13,504,152/x
  3. Step 3: Cross multiply
    9,600,400x = 13,504,152 × 13,504,152
  4. Step 4: Simplify right side
    9,600,400x = 182,362,121,239,104
  5. Step 5: Solve for x
    x = 182,362,121,239,104/9,600,400
  6. Step 6: Final answer
    x = 18,995,262.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.