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Finding the Third Proportional to 21,854,657,685,996 and 48,595,704,900,966

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Solution

The third proportional to 21,854,657,685,996 and 48,595,704,900,966 is: 108,056,715,815,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854,657,685,996 : 48,595,704,900,966 = 48,595,704,900,966 : x
  2. Step 2: Convert to fraction form
    21,854,657,685,996/48,595,704,900,966 = 48,595,704,900,966/x
  3. Step 3: Cross multiply
    21,854,657,685,996x = 48,595,704,900,966 × 48,595,704,900,966
  4. Step 4: Simplify right side
    21,854,657,685,996x = 2,361,542,534,821,770,874,505,396,224
  5. Step 5: Solve for x
    x = 2,361,542,534,821,770,874,505,396,224/21,854,657,685,996
  6. Step 6: Final answer
    x = 108,056,715,815,548.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.