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Finding the Third Proportional to 5,412,686 and 11,641,852

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Solution

The third proportional to 5,412,686 and 11,641,852 is: 25,039,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,686 : 11,641,852 = 11,641,852 : x
  2. Step 2: Convert to fraction form
    5,412,686/11,641,852 = 11,641,852/x
  3. Step 3: Cross multiply
    5,412,686x = 11,641,852 × 11,641,852
  4. Step 4: Simplify right side
    5,412,686x = 135,532,717,989,904
  5. Step 5: Solve for x
    x = 135,532,717,989,904/5,412,686
  6. Step 6: Final answer
    x = 25,039,826.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.