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Finding the Third Proportional to 6,511,204 and 9,578,601

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Solution

The third proportional to 6,511,204 and 9,578,601 is: 14,091,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,204 : 9,578,601 = 9,578,601 : x
  2. Step 2: Convert to fraction form
    6,511,204/9,578,601 = 9,578,601/x
  3. Step 3: Cross multiply
    6,511,204x = 9,578,601 × 9,578,601
  4. Step 4: Simplify right side
    6,511,204x = 91,749,597,117,201
  5. Step 5: Solve for x
    x = 91,749,597,117,201/6,511,204
  6. Step 6: Final answer
    x = 14,091,034.03

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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.