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To determine the maximum dimension of the enlarged photo that can be pasted into the album, we need to find the largest possible dimension while ensuring that both length and width of the photo are smaller than or equal to the dimensions of the album page.
Length of the photograph: 15 cm
Width of the photograph: 10 cm
Maximum length of the enlarged photo = length of the album page = 27 cm
Maximum width of the enlarged photo = width of the album page = 45 cm
Therefore, the maximum dimension of the enlarged photo that can be pasted into the album is 27 cm by 45 cm.