In a way that shows a great victory or success, often with joy and celebration.
From Latin 'triumphus' (a solemn procession for a victorious general), possibly from Etruscan or Greek origins. The adverbial form was created to describe the manner of celebrating victory.
Romans held actual 'triumph' parades where victorious generals rode through the city in glory—so when you do something 'triumphantly' today, you're channeling ancient military pageantry.
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