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Finding the Third Proportional to 26,839,946,620 and 40,027,166,993

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Solution

The third proportional to 26,839,946,620 and 40,027,166,993 is: 59,693,639,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,620 : 40,027,166,993 = 40,027,166,993 : x
  2. Step 2: Convert to fraction form
    26,839,946,620/40,027,166,993 = 40,027,166,993/x
  3. Step 3: Cross multiply
    26,839,946,620x = 40,027,166,993 × 40,027,166,993
  4. Step 4: Simplify right side
    26,839,946,620x = 1,602,174,097,485,508,640,768
  5. Step 5: Solve for x
    x = 1,602,174,097,485,508,640,768/26,839,946,620
  6. Step 6: Final answer
    x = 59,693,639,490.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.