Let \(P\) be a point inside triangle \(ABC\). Let \(G_1\), \(G_2\), and \(G_3\) be the centroids of triangles \(PBC\), \(PCA\), and \(PAB\), respectively. If the area of triangle \(ABC\) is 18, then find the area of triangle \(G_1G_2G_3\).
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