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Finding the Third Proportional to 11,695,467,573 and 25,534,103,227

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Solution

The third proportional to 11,695,467,573 and 25,534,103,227 is: 55,747,273,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695,467,573 : 25,534,103,227 = 25,534,103,227 : x
  2. Step 2: Convert to fraction form
    11,695,467,573/25,534,103,227 = 25,534,103,227/x
  3. Step 3: Cross multiply
    11,695,467,573x = 25,534,103,227 × 25,534,103,227
  4. Step 4: Simplify right side
    11,695,467,573x = 651,990,427,607,091,773,440
  5. Step 5: Solve for x
    x = 651,990,427,607,091,773,440/11,695,467,573
  6. Step 6: Final answer
    x = 55,747,273,337.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.