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Finding the Third Proportional to 11,229,774 and 16,769,814

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Solution

The third proportional to 11,229,774 and 16,769,814 is: 25,042,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229,774 : 16,769,814 = 16,769,814 : x
  2. Step 2: Convert to fraction form
    11,229,774/16,769,814 = 16,769,814/x
  3. Step 3: Cross multiply
    11,229,774x = 16,769,814 × 16,769,814
  4. Step 4: Simplify right side
    11,229,774x = 281,226,661,594,596
  5. Step 5: Solve for x
    x = 281,226,661,594,596/11,229,774
  6. Step 6: Final answer
    x = 25,042,949.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.