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Finding the Third Proportional to 26,769,616,002 and 40,498,717,947

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Solution

The third proportional to 26,769,616,002 and 40,498,717,947 is: 61,268,945,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,769,616,002 : 40,498,717,947 = 40,498,717,947 : x
  2. Step 2: Convert to fraction form
    26,769,616,002/40,498,717,947 = 40,498,717,947/x
  3. Step 3: Cross multiply
    26,769,616,002x = 40,498,717,947 × 40,498,717,947
  4. Step 4: Simplify right side
    26,769,616,002x = 1,640,146,155,350,659,956,736
  5. Step 5: Solve for x
    x = 1,640,146,155,350,659,956,736/26,769,616,002
  6. Step 6: Final answer
    x = 61,268,945,928.40

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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.