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Finding the Third Proportional to 5,405,436 and 11,751,744

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Solution

The third proportional to 5,405,436 and 11,751,744 is: 25,549,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405,436 : 11,751,744 = 11,751,744 : x
  2. Step 2: Convert to fraction form
    5,405,436/11,751,744 = 11,751,744/x
  3. Step 3: Cross multiply
    5,405,436x = 11,751,744 × 11,751,744
  4. Step 4: Simplify right side
    5,405,436x = 138,103,487,041,536
  5. Step 5: Solve for x
    x = 138,103,487,041,536/5,405,436
  6. Step 6: Final answer
    x = 25,549,000.50

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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.