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Finding the Third Proportional to 3,265,825.50 and 6,921,004.50

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Solution

The third proportional to 3,265,825.50 and 6,921,004.50 is: 14,667,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,825.50 : 6,921,004.50 = 6,921,004.50 : x
  2. Step 2: Convert to fraction form
    3,265,825.50/6,921,004.50 = 6,921,004.50/x
  3. Step 3: Cross multiply
    3,265,825.50x = 6,921,004.50 × 6,921,004.50
  4. Step 4: Simplify right side
    3,265,825.50x = 47,900,303,289,020.25
  5. Step 5: Solve for x
    x = 47,900,303,289,020.25/3,265,825.50
  6. Step 6: Final answer
    x = 14,667,134.94

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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.