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Finding the Third Proportional to 23,190,420,759,616 and 50,452,387,215,064

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Solution

The third proportional to 23,190,420,759,616 and 50,452,387,215,064 is: 109,762,707,718,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190,420,759,616 : 50,452,387,215,064 = 50,452,387,215,064 : x
  2. Step 2: Convert to fraction form
    23,190,420,759,616/50,452,387,215,064 = 50,452,387,215,064/x
  3. Step 3: Cross multiply
    23,190,420,759,616x = 50,452,387,215,064 × 50,452,387,215,064
  4. Step 4: Simplify right side
    23,190,420,759,616x = 2,545,443,375,698,753,452,010,110,976
  5. Step 5: Solve for x
    x = 2,545,443,375,698,753,452,010,110,976/23,190,420,759,616
  6. Step 6: Final answer
    x = 109,762,707,718,154.50

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