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Finding the Third Proportional to 7,509,530 and 16,151,196

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Solution

The third proportional to 7,509,530 and 16,151,196 is: 34,737,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,530 : 16,151,196 = 16,151,196 : x
  2. Step 2: Convert to fraction form
    7,509,530/16,151,196 = 16,151,196/x
  3. Step 3: Cross multiply
    7,509,530x = 16,151,196 × 16,151,196
  4. Step 4: Simplify right side
    7,509,530x = 260,861,132,230,416
  5. Step 5: Solve for x
    x = 260,861,132,230,416/7,509,530
  6. Step 6: Final answer
    x = 34,737,344.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.