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Finding the Third Proportional to 26,839,946,588 and 40,027,166,944

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Solution

The third proportional to 26,839,946,588 and 40,027,166,944 is: 59,693,639,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839,946,588 : 40,027,166,944 = 40,027,166,944 : x
  2. Step 2: Convert to fraction form
    26,839,946,588/40,027,166,944 = 40,027,166,944/x
  3. Step 3: Cross multiply
    26,839,946,588x = 40,027,166,944 × 40,027,166,944
  4. Step 4: Simplify right side
    26,839,946,588x = 1,602,174,093,562,846,380,032
  5. Step 5: Solve for x
    x = 1,602,174,093,562,846,380,032/26,839,946,588
  6. Step 6: Final answer
    x = 59,693,639,415.78

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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.