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Finding the Third Proportional to 3,405,208.50 and 7,225,515

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Solution

The third proportional to 3,405,208.50 and 7,225,515 is: 15,331,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,208.50 : 7,225,515 = 7,225,515 : x
  2. Step 2: Convert to fraction form
    3,405,208.50/7,225,515 = 7,225,515/x
  3. Step 3: Cross multiply
    3,405,208.50x = 7,225,515 × 7,225,515
  4. Step 4: Simplify right side
    3,405,208.50x = 52,208,067,015,225
  5. Step 5: Solve for x
    x = 52,208,067,015,225/3,405,208.50
  6. Step 6: Final answer
    x = 15,331,826.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.