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Finding the Third Proportional to 6,753,786.75 and 14,768,721

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Solution

The third proportional to 6,753,786.75 and 14,768,721 is: 32,295,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753,786.75 : 14,768,721 = 14,768,721 : x
  2. Step 2: Convert to fraction form
    6,753,786.75/14,768,721 = 14,768,721/x
  3. Step 3: Cross multiply
    6,753,786.75x = 14,768,721 × 14,768,721
  4. Step 4: Simplify right side
    6,753,786.75x = 218,115,119,975,841
  5. Step 5: Solve for x
    x = 218,115,119,975,841/6,753,786.75
  6. Step 6: Final answer
    x = 32,295,233.48

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