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Finding the Third Proportional to 6,511,202 and 9,578,631

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Solution

The third proportional to 6,511,202 and 9,578,631 is: 14,091,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,202 : 9,578,631 = 9,578,631 : x
  2. Step 2: Convert to fraction form
    6,511,202/9,578,631 = 9,578,631/x
  3. Step 3: Cross multiply
    6,511,202x = 9,578,631 × 9,578,631
  4. Step 4: Simplify right side
    6,511,202x = 91,750,171,834,161
  5. Step 5: Solve for x
    x = 91,750,171,834,161/6,511,202
  6. Step 6: Final answer
    x = 14,091,126.62

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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.