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Finding the Third Proportional to 5,470,464.75 and 11,904,174.75

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Solution

The third proportional to 5,470,464.75 and 11,904,174.75 is: 25,904,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,464.75 : 11,904,174.75 = 11,904,174.75 : x
  2. Step 2: Convert to fraction form
    5,470,464.75/11,904,174.75 = 11,904,174.75/x
  3. Step 3: Cross multiply
    5,470,464.75x = 11,904,174.75 × 11,904,174.75
  4. Step 4: Simplify right side
    5,470,464.75x = 141,709,376,478,537.56
  5. Step 5: Solve for x
    x = 141,709,376,478,537.56/5,470,464.75
  6. Step 6: Final answer
    x = 25,904,449.25

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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.