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Finding the Third Proportional to 12,933,741 and 17,983,152

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Solution

The third proportional to 12,933,741 and 17,983,152 is: 25,003,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933,741 : 17,983,152 = 17,983,152 : x
  2. Step 2: Convert to fraction form
    12,933,741/17,983,152 = 17,983,152/x
  3. Step 3: Cross multiply
    12,933,741x = 17,983,152 × 17,983,152
  4. Step 4: Simplify right side
    12,933,741x = 323,393,755,855,104
  5. Step 5: Solve for x
    x = 323,393,755,855,104/12,933,741
  6. Step 6: Final answer
    x = 25,003,883.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.