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Finding the Third Proportional to 9,306,441 and 13,969,503

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Solution

The third proportional to 9,306,441 and 13,969,503 is: 20,969,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306,441 : 13,969,503 = 13,969,503 : x
  2. Step 2: Convert to fraction form
    9,306,441/13,969,503 = 13,969,503/x
  3. Step 3: Cross multiply
    9,306,441x = 13,969,503 × 13,969,503
  4. Step 4: Simplify right side
    9,306,441x = 195,147,014,067,009
  5. Step 5: Solve for x
    x = 195,147,014,067,009/9,306,441
  6. Step 6: Final answer
    x = 20,969,027.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.