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Finding the Third Proportional to 4,647,786 and 7,105,449

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Solution

The third proportional to 4,647,786 and 7,105,449 is: 10,862,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647,786 : 7,105,449 = 7,105,449 : x
  2. Step 2: Convert to fraction form
    4,647,786/7,105,449 = 7,105,449/x
  3. Step 3: Cross multiply
    4,647,786x = 7,105,449 × 7,105,449
  4. Step 4: Simplify right side
    4,647,786x = 50,487,405,491,601
  5. Step 5: Solve for x
    x = 50,487,405,491,601/4,647,786
  6. Step 6: Final answer
    x = 10,862,678.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.