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Finding the Third Proportional to 5,405,208 and 11,744,976

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Solution

The third proportional to 5,405,208 and 11,744,976 is: 25,520,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405,208 : 11,744,976 = 11,744,976 : x
  2. Step 2: Convert to fraction form
    5,405,208/11,744,976 = 11,744,976/x
  3. Step 3: Cross multiply
    5,405,208x = 11,744,976 × 11,744,976
  4. Step 4: Simplify right side
    5,405,208x = 137,944,461,240,576
  5. Step 5: Solve for x
    x = 137,944,461,240,576/5,405,208
  6. Step 6: Final answer
    x = 25,520,657.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.