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Finding the Third Proportional to 11,714,805 and 25,444,589.25

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Solution

The third proportional to 11,714,805 and 25,444,589.25 is: 55,265,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714,805 : 25,444,589.25 = 25,444,589.25 : x
  2. Step 2: Convert to fraction form
    11,714,805/25,444,589.25 = 25,444,589.25/x
  3. Step 3: Cross multiply
    11,714,805x = 25,444,589.25 × 25,444,589.25
  4. Step 4: Simplify right side
    11,714,805x = 647,427,122,101,215.50
  5. Step 5: Solve for x
    x = 647,427,122,101,215.50/11,714,805
  6. Step 6: Final answer
    x = 55,265,719.07

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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.