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Finding the Third Proportional to 5,213,738 and 10,904,170

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Solution

The third proportional to 5,213,738 and 10,904,170 is: 22,805,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213,738 : 10,904,170 = 10,904,170 : x
  2. Step 2: Convert to fraction form
    5,213,738/10,904,170 = 10,904,170/x
  3. Step 3: Cross multiply
    5,213,738x = 10,904,170 × 10,904,170
  4. Step 4: Simplify right side
    5,213,738x = 118,900,923,388,900
  5. Step 5: Solve for x
    x = 118,900,923,388,900/5,213,738
  6. Step 6: Final answer
    x = 22,805,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.