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Finding the Third Proportional to 9,206,424 and 19,383,328

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Solution

The third proportional to 9,206,424 and 19,383,328 is: 40,809,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206,424 : 19,383,328 = 19,383,328 : x
  2. Step 2: Convert to fraction form
    9,206,424/19,383,328 = 19,383,328/x
  3. Step 3: Cross multiply
    9,206,424x = 19,383,328 × 19,383,328
  4. Step 4: Simplify right side
    9,206,424x = 375,713,404,355,584
  5. Step 5: Solve for x
    x = 375,713,404,355,584/9,206,424
  6. Step 6: Final answer
    x = 40,809,917.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.