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Finding the Third Proportional to 7,468,518 and 16,382,796

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Solution

The third proportional to 7,468,518 and 16,382,796 is: 35,936,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468,518 : 16,382,796 = 16,382,796 : x
  2. Step 2: Convert to fraction form
    7,468,518/16,382,796 = 16,382,796/x
  3. Step 3: Cross multiply
    7,468,518x = 16,382,796 × 16,382,796
  4. Step 4: Simplify right side
    7,468,518x = 268,396,004,777,616
  5. Step 5: Solve for x
    x = 268,396,004,777,616/7,468,518
  6. Step 6: Final answer
    x = 35,936,983.05

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Why These Related Problems?

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