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Finding the Third Proportional to 3,192,180 and 7,004,656.50

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Solution

The third proportional to 3,192,180 and 7,004,656.50 is: 15,370,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,180 : 7,004,656.50 = 7,004,656.50 : x
  2. Step 2: Convert to fraction form
    3,192,180/7,004,656.50 = 7,004,656.50/x
  3. Step 3: Cross multiply
    3,192,180x = 7,004,656.50 × 7,004,656.50
  4. Step 4: Simplify right side
    3,192,180x = 49,065,212,682,992.25
  5. Step 5: Solve for x
    x = 49,065,212,682,992.25/3,192,180
  6. Step 6: Final answer
    x = 15,370,440.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.