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Finding the Third Proportional to 23,485,797,721,944 and 47,641,263,866,016

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Solution

The third proportional to 23,485,797,721,944 and 47,641,263,866,016 is: 96,640,959,341,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485,797,721,944 : 47,641,263,866,016 = 47,641,263,866,016 : x
  2. Step 2: Convert to fraction form
    23,485,797,721,944/47,641,263,866,016 = 47,641,263,866,016/x
  3. Step 3: Cross multiply
    23,485,797,721,944x = 47,641,263,866,016 × 47,641,263,866,016
  4. Step 4: Simplify right side
    23,485,797,721,944x = 2,269,690,022,751,361,791,718,064,128
  5. Step 5: Solve for x
    x = 2,269,690,022,751,361,791,718,064,128/23,485,797,721,944
  6. Step 6: Final answer
    x = 96,640,959,341,597.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.