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Finding the Third Proportional to 33,632,950,434 and 47,302,494,504

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Solution

The third proportional to 33,632,950,434 and 47,302,494,504 is: 66,527,793,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632,950,434 : 47,302,494,504 = 47,302,494,504 : x
  2. Step 2: Convert to fraction form
    33,632,950,434/47,302,494,504 = 47,302,494,504/x
  3. Step 3: Cross multiply
    33,632,950,434x = 47,302,494,504 × 47,302,494,504
  4. Step 4: Simplify right side
    33,632,950,434x = 2,237,525,986,300,950,216,704
  5. Step 5: Solve for x
    x = 2,237,525,986,300,950,216,704/33,632,950,434
  6. Step 6: Final answer
    x = 66,527,793,649.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.