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Finding the Third Proportional to 5,470,537.50 and 11,904,327

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Solution

The third proportional to 5,470,537.50 and 11,904,327 is: 25,904,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,537.50 : 11,904,327 = 11,904,327 : x
  2. Step 2: Convert to fraction form
    5,470,537.50/11,904,327 = 11,904,327/x
  3. Step 3: Cross multiply
    5,470,537.50x = 11,904,327 × 11,904,327
  4. Step 4: Simplify right side
    5,470,537.50x = 141,713,001,322,929
  5. Step 5: Solve for x
    x = 141,713,001,322,929/5,470,537.50
  6. Step 6: Final answer
    x = 25,904,767.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.