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Finding the Third Proportional to 17,824,170 and 26,412,567

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Solution

The third proportional to 17,824,170 and 26,412,567 is: 39,139,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824,170 : 26,412,567 = 26,412,567 : x
  2. Step 2: Convert to fraction form
    17,824,170/26,412,567 = 26,412,567/x
  3. Step 3: Cross multiply
    17,824,170x = 26,412,567 × 26,412,567
  4. Step 4: Simplify right side
    17,824,170x = 697,623,695,529,489
  5. Step 5: Solve for x
    x = 697,623,695,529,489/17,824,170
  6. Step 6: Final answer
    x = 39,139,196.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.