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Finding the Third Proportional to 4,947,399 and 7,568,235

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Solution

The third proportional to 4,947,399 and 7,568,235 is: 11,577,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947,399 : 7,568,235 = 7,568,235 : x
  2. Step 2: Convert to fraction form
    4,947,399/7,568,235 = 7,568,235/x
  3. Step 3: Cross multiply
    4,947,399x = 7,568,235 × 7,568,235
  4. Step 4: Simplify right side
    4,947,399x = 57,278,181,015,225
  5. Step 5: Solve for x
    x = 57,278,181,015,225/4,947,399
  6. Step 6: Final answer
    x = 11,577,433.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.