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Finding the Third Proportional to 6,511,197 and 9,578,591.25

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Solution

The third proportional to 6,511,197 and 9,578,591.25 is: 14,091,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,197 : 9,578,591.25 = 9,578,591.25 : x
  2. Step 2: Convert to fraction form
    6,511,197/9,578,591.25 = 9,578,591.25/x
  3. Step 3: Cross multiply
    6,511,197x = 9,578,591.25 × 9,578,591.25
  4. Step 4: Simplify right side
    6,511,197x = 91,749,410,334,576.56
  5. Step 5: Solve for x
    x = 91,749,410,334,576.56/6,511,197
  6. Step 6: Final answer
    x = 14,091,020.49

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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.