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Finding the Third Proportional to 8,078,933 and 17,702,949

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Solution

The third proportional to 8,078,933 and 17,702,949 is: 38,791,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,933 : 17,702,949 = 17,702,949 : x
  2. Step 2: Convert to fraction form
    8,078,933/17,702,949 = 17,702,949/x
  3. Step 3: Cross multiply
    8,078,933x = 17,702,949 × 17,702,949
  4. Step 4: Simplify right side
    8,078,933x = 313,394,403,296,601
  5. Step 5: Solve for x
    x = 313,394,403,296,601/8,078,933
  6. Step 6: Final answer
    x = 38,791,558.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.