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Finding the Third Proportional to 23,361,563,103,998 and 34,342,534,112,638

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Solution

The third proportional to 23,361,563,103,998 and 34,342,534,112,638 is: 50,485,048,625,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361,563,103,998 : 34,342,534,112,638 = 34,342,534,112,638 : x
  2. Step 2: Convert to fraction form
    23,361,563,103,998/34,342,534,112,638 = 34,342,534,112,638/x
  3. Step 3: Cross multiply
    23,361,563,103,998x = 34,342,534,112,638 × 34,342,534,112,638
  4. Step 4: Simplify right side
    23,361,563,103,998x = 1,179,409,649,277,704,646,026,067,968
  5. Step 5: Solve for x
    x = 1,179,409,649,277,704,646,026,067,968/23,361,563,103,998
  6. Step 6: Final answer
    x = 50,485,048,625,700.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.