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Finding the Third Proportional to 11,219,665 and 24,567,471

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Solution

The third proportional to 11,219,665 and 24,567,471 is: 53,794,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219,665 : 24,567,471 = 24,567,471 : x
  2. Step 2: Convert to fraction form
    11,219,665/24,567,471 = 24,567,471/x
  3. Step 3: Cross multiply
    11,219,665x = 24,567,471 × 24,567,471
  4. Step 4: Simplify right side
    11,219,665x = 603,560,631,335,841
  5. Step 5: Solve for x
    x = 603,560,631,335,841/11,219,665
  6. Step 6: Final answer
    x = 53,794,888.83

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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.