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Finding the Third Proportional to 21,854,657,685,999 and 48,595,704,900,972

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Solution

The third proportional to 21,854,657,685,999 and 48,595,704,900,972 is: 108,056,715,815,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854,657,685,999 : 48,595,704,900,972 = 48,595,704,900,972 : x
  2. Step 2: Convert to fraction form
    21,854,657,685,999/48,595,704,900,972 = 48,595,704,900,972/x
  3. Step 3: Cross multiply
    21,854,657,685,999x = 48,595,704,900,972 × 48,595,704,900,972
  4. Step 4: Simplify right side
    21,854,657,685,999x = 2,361,542,534,822,354,165,423,931,392
  5. Step 5: Solve for x
    x = 2,361,542,534,822,354,165,423,931,392/21,854,657,685,999
  6. Step 6: Final answer
    x = 108,056,715,815,560.73

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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.