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Finding the Third Proportional to 5,589,672 and 11,976,240

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Solution

The third proportional to 5,589,672 and 11,976,240 is: 25,659,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,672 : 11,976,240 = 11,976,240 : x
  2. Step 2: Convert to fraction form
    5,589,672/11,976,240 = 11,976,240/x
  3. Step 3: Cross multiply
    5,589,672x = 11,976,240 × 11,976,240
  4. Step 4: Simplify right side
    5,589,672x = 143,430,324,537,600
  5. Step 5: Solve for x
    x = 143,430,324,537,600/5,589,672
  6. Step 6: Final answer
    x = 25,659,882.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.