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Finding the Third Proportional to 6,511,206 and 9,578,604.75

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Solution

The third proportional to 6,511,206 and 9,578,604.75 is: 14,091,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,206 : 9,578,604.75 = 9,578,604.75 : x
  2. Step 2: Convert to fraction form
    6,511,206/9,578,604.75 = 9,578,604.75/x
  3. Step 3: Cross multiply
    6,511,206x = 9,578,604.75 × 9,578,604.75
  4. Step 4: Simplify right side
    6,511,206x = 91,749,668,956,722.56
  5. Step 5: Solve for x
    x = 91,749,668,956,722.56/6,511,206
  6. Step 6: Final answer
    x = 14,091,040.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.