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Finding the Third Proportional to 3,940,561,242 and 8,567,018,172

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Solution

The third proportional to 3,940,561,242 and 8,567,018,172 is: 18,625,215,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,561,242 : 8,567,018,172 = 8,567,018,172 : x
  2. Step 2: Convert to fraction form
    3,940,561,242/8,567,018,172 = 8,567,018,172/x
  3. Step 3: Cross multiply
    3,940,561,242x = 8,567,018,172 × 8,567,018,172
  4. Step 4: Simplify right side
    3,940,561,242x = 73,393,800,359,378,223,104
  5. Step 5: Solve for x
    x = 73,393,800,359,378,223,104/3,940,561,242
  6. Step 6: Final answer
    x = 18,625,215,001.64

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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.