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Finding the Third Proportional to 7,857,876 and 11,816,061

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Solution

The third proportional to 7,857,876 and 11,816,061 is: 17,768,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,876 : 11,816,061 = 11,816,061 : x
  2. Step 2: Convert to fraction form
    7,857,876/11,816,061 = 11,816,061/x
  3. Step 3: Cross multiply
    7,857,876x = 11,816,061 × 11,816,061
  4. Step 4: Simplify right side
    7,857,876x = 139,619,297,555,721
  5. Step 5: Solve for x
    x = 139,619,297,555,721/7,857,876
  6. Step 6: Final answer
    x = 17,768,070.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.