Prove that $A \cdot B \cdot C = B:\left( {A \otimes C} \right)$?

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I am confused about the following identity. Let A, B, and C be second-order tensors:

$A \cdot B \cdot C = B:\left( {A \otimes C} \right)$

where ⋅, : and ⊗ denote the inner product, double dot product, and dyadic product respectively. This "identity" can be observed in here taken from https://doi.org/10.1115/1.4034024 I will deeply appreciate your comments and any sources. Thanks.