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Finding the Third Proportional to 7,691,949 and 16,413,615

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Solution

The third proportional to 7,691,949 and 16,413,615 is: 35,024,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691,949 : 16,413,615 = 16,413,615 : x
  2. Step 2: Convert to fraction form
    7,691,949/16,413,615 = 16,413,615/x
  3. Step 3: Cross multiply
    7,691,949x = 16,413,615 × 16,413,615
  4. Step 4: Simplify right side
    7,691,949x = 269,406,757,368,225
  5. Step 5: Solve for x
    x = 269,406,757,368,225/7,691,949
  6. Step 6: Final answer
    x = 35,024,511.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.