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Finding the Third Proportional to 26,769,616,004 and 40,498,717,950

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Solution

The third proportional to 26,769,616,004 and 40,498,717,950 is: 61,268,945,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,769,616,004 : 40,498,717,950 = 40,498,717,950 : x
  2. Step 2: Convert to fraction form
    26,769,616,004/40,498,717,950 = 40,498,717,950/x
  3. Step 3: Cross multiply
    26,769,616,004x = 40,498,717,950 × 40,498,717,950
  4. Step 4: Simplify right side
    26,769,616,004x = 1,640,146,155,593,652,240,384
  5. Step 5: Solve for x
    x = 1,640,146,155,593,652,240,384/26,769,616,004
  6. Step 6: Final answer
    x = 61,268,945,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.