Act as a seasoned product manager with [10+ years of experience] in consumer-facing technology products. Your task is to analyze how [social proof] influences [product adoption rates] across different demographics, including [millennials, Gen Z, and baby boomers]. Provide a detailed report that includes: 1. A definition of social proof and its various forms (e.g., reviews, testimonials, influencer endorsements). 2. Quantitative data showcasing the correlation between social proof and adoption rates. 3. Case studies of successful product launches where social proof played a pivotal role. 4. Recommendations for leveraging social proof in future product strategies, tailored to each demographic segment. Ensure your analysis is backed by credible sources and includes actionable insights for stakeholders.