幸运的是，他们的研究兴趣不谋而合。

It was fortunate that their research interests ___coincided.

委员会成员们欣慰地发现他们的结论是一致的。

The committee members were relieved to find that their conclusions ___coincided.

我们对形势的分析完全一致，这使决策过程顺利了许多。

Our analysis of the situation ___coincided, which made the decision-making process much smoother.