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Finding the Third Proportional to 5,335,456 and 11,707,901

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Solution

The third proportional to 5,335,456 and 11,707,901 is: 25,691,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335,456 : 11,707,901 = 11,707,901 : x
  2. Step 2: Convert to fraction form
    5,335,456/11,707,901 = 11,707,901/x
  3. Step 3: Cross multiply
    5,335,456x = 11,707,901 × 11,707,901
  4. Step 4: Simplify right side
    5,335,456x = 137,074,945,825,801
  5. Step 5: Solve for x
    x = 137,074,945,825,801/5,335,456
  6. Step 6: Final answer
    x = 25,691,327.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.