The sum of three consecutive even natural numbers is 78. Find the greatest of these numbers:

Let the three consecutive even natural numbers be (n), (n+2), and (n+4). Their sum is (n + (n+2) + (n+4) = 3n + 6 = 78). Solving, (3n = 72), so (n = 24). The numbers are 24, 26, 28, and the greatest is 28. Studying this highlights algebraic problem-solving, the challenges of number sequences, and its application in logic. It also offers insights into how math models patterns, providing lessons on logical reasoning for real-world problems.