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Finding the Third Proportional to 11,589,475,831 and 25,104,297,159

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Solution

The third proportional to 11,589,475,831 and 25,104,297,159 is: 54,379,140,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,475,831 : 25,104,297,159 = 25,104,297,159 : x
  2. Step 2: Convert to fraction form
    11,589,475,831/25,104,297,159 = 25,104,297,159/x
  3. Step 3: Cross multiply
    11,589,475,831x = 25,104,297,159 × 25,104,297,159
  4. Step 4: Simplify right side
    11,589,475,831x = 630,225,735,847,375,536,128
  5. Step 5: Solve for x
    x = 630,225,735,847,375,536,128/11,589,475,831
  6. Step 6: Final answer
    x = 54,379,140,613.21

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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.