Economics books often quotes import as a borrowing
Why it is borrowing since the importer pays to exporter for the goods they have received. Lets say, a US company is importing apparel from China.
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You are right. There is nothing in "importing" which is intrinsically related to "borrowing". If economics books often quotes this, it is because they make an accounting-like shortcut (under assumptions of balanced public accounts) that is representative of the USA-China case.
On the one hand, USA has a net negative trade balance with China, i.e. USA is "net-importing" from China. On the other hand, the "U.S. debt to China is $1.2 trillion as of August 2017".
The accounting-like shortcut consists of saying that USA debt to China is actually used to import goods from China. This is not the factual reality, but an accounting one. The real story behind is that actually, when importing goods from another country, a U.S. private company is not doing so from a local one who would pays taxes and thus generates tax income for the U.S. government, which would in turn allows it to contract less debt and so on...