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In the diagram, diameter AC ¯ ¯ ¯ ¯ ¯ intersects chord BD ¯ ¯ ¯ ¯ ¯ at point E such that AE = 2.5 units and BE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. What is the approximate length of DE ¯ ¯ ¯ ¯ ¯ ?
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