The study explores the enduring relevance and applications of Ancient Vedic Mathematics, a mathematical system rooted in the Indian Vedic period. This system, known for its efficient and simplified calculation methods, offers promising prospects in various modern sectors. From its utility in modern computing algorithms to educational implications, Vedic Mathematics is not just a relic of the past but a versatile tool for contemporary problem-solving. Its algorithms are particularly suited for optimizing computational processes in data science and cryptography. Additionally, its intuitive methods present an alternative educational approach, encouraging more students to engage with mathematics. The research underscores the cultural and practical importance of Ancient Vedic Mathematics, highlighting its ongoing contributions to modern mathematical understanding and computing capabilities.