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Finding the Third Proportional to 7,821,059 and 11,451,606

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Solution

The third proportional to 7,821,059 and 11,451,606 is: 16,767,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821,059 : 11,451,606 = 11,451,606 : x
  2. Step 2: Convert to fraction form
    7,821,059/11,451,606 = 11,451,606/x
  3. Step 3: Cross multiply
    7,821,059x = 11,451,606 × 11,451,606
  4. Step 4: Simplify right side
    7,821,059x = 131,139,279,979,236
  5. Step 5: Solve for x
    x = 131,139,279,979,236/7,821,059
  6. Step 6: Final answer
    x = 16,767,458.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.