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Finding the Third Proportional to 7,832,546 and 11,973,942

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Solution

The third proportional to 7,832,546 and 11,973,942 is: 18,305,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,546 : 11,973,942 = 11,973,942 : x
  2. Step 2: Convert to fraction form
    7,832,546/11,973,942 = 11,973,942/x
  3. Step 3: Cross multiply
    7,832,546x = 11,973,942 × 11,973,942
  4. Step 4: Simplify right side
    7,832,546x = 143,375,287,019,364
  5. Step 5: Solve for x
    x = 143,375,287,019,364/7,832,546
  6. Step 6: Final answer
    x = 18,305,067.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.