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Finding the Third Proportional to 7,857,862 and 11,816,036

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Solution

The third proportional to 7,857,862 and 11,816,036 is: 17,768,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,862 : 11,816,036 = 11,816,036 : x
  2. Step 2: Convert to fraction form
    7,857,862/11,816,036 = 11,816,036/x
  3. Step 3: Cross multiply
    7,857,862x = 11,816,036 × 11,816,036
  4. Step 4: Simplify right side
    7,857,862x = 139,618,706,753,296
  5. Step 5: Solve for x
    x = 139,618,706,753,296/7,857,862
  6. Step 6: Final answer
    x = 17,768,027.33

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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.