"Design an impressive entrance gate for a city located along a bustling highway in India, incorporating rich Indian traditional elements and crafted predominantly in stone. Consider the cultural heritage, architectural nuances, and aesthetic appeal that resonate with the local ethos. Envision a gateway that not only welcomes travelers but also serves as a symbol of the city's identity, blending modern functionality with timeless Indian architectural charm. Describe the intricate details, use of traditional motifs, and the overall grandeur of the entrance gate, ensuring it stands as a proud testament to the city's cultural heritage."