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Finding the Third Proportional to 7,728,436 and 16,949,856

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Solution

The third proportional to 7,728,436 and 16,949,856 is: 37,174,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728,436 : 16,949,856 = 16,949,856 : x
  2. Step 2: Convert to fraction form
    7,728,436/16,949,856 = 16,949,856/x
  3. Step 3: Cross multiply
    7,728,436x = 16,949,856 × 16,949,856
  4. Step 4: Simplify right side
    7,728,436x = 287,297,618,420,736
  5. Step 5: Solve for x
    x = 287,297,618,420,736/7,728,436
  6. Step 6: Final answer
    x = 37,174,095.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.