Act as a Senior Product Manager with 10+ years of experience in cross-functional collaboration. Your task is to outline a comprehensive strategy for managing product dependencies in a [FAST-PACED TECH ENVIRONMENT] where [MULTIPLE TEAMS] are working on interconnected features. Address how to prioritize dependencies, mitigate risks, and ensure alignment across [STAKEHOLDERS]. Include real-world examples of successful dependency management, tools or frameworks you recommend (e.g., dependency matrices, Gantt charts), and how to handle blockers proactively. Your response should be actionable, data-driven, and tailored for [AGILE OR WATERFALL] methodologies.