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Finding the Third Proportional to 24,349,286.50 and 53,568,372.25

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Solution

The third proportional to 24,349,286.50 and 53,568,372.25 is: 117,850,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349,286.50 : 53,568,372.25 = 53,568,372.25 : x
  2. Step 2: Convert to fraction form
    24,349,286.50/53,568,372.25 = 53,568,372.25/x
  3. Step 3: Cross multiply
    24,349,286.50x = 53,568,372.25 × 53,568,372.25
  4. Step 4: Simplify right side
    24,349,286.50x = 2,869,570,505,514,570
  5. Step 5: Solve for x
    x = 2,869,570,505,514,570/24,349,286.50
  6. Step 6: Final answer
    x = 117,850,291.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.