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Finding the Third Proportional to 8,195,322,441.75 and 17,633,616,450.75

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Solution

The third proportional to 8,195,322,441.75 and 17,633,616,450.75 is: 37,941,695,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,322,441.75 : 17,633,616,450.75 = 17,633,616,450.75 : x
  2. Step 2: Convert to fraction form
    8,195,322,441.75/17,633,616,450.75 = 17,633,616,450.75/x
  3. Step 3: Cross multiply
    8,195,322,441.75x = 17,633,616,450.75 × 17,633,616,450.75
  4. Step 4: Simplify right side
    8,195,322,441.75x = 310,944,429,132,161,024,000
  5. Step 5: Solve for x
    x = 310,944,429,132,161,024,000/8,195,322,441.75
  6. Step 6: Final answer
    x = 37,941,695,563.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.