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Finding the Third Proportional to 6,511,204 and 9,578,634

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Solution

The third proportional to 6,511,204 and 9,578,634 is: 14,091,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,204 : 9,578,634 = 9,578,634 : x
  2. Step 2: Convert to fraction form
    6,511,204/9,578,634 = 9,578,634/x
  3. Step 3: Cross multiply
    6,511,204x = 9,578,634 × 9,578,634
  4. Step 4: Simplify right side
    6,511,204x = 91,750,229,305,956
  5. Step 5: Solve for x
    x = 91,750,229,305,956/6,511,204
  6. Step 6: Final answer
    x = 14,091,131.12

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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.