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Finding the Third Proportional to 41,675,999,232 and 89,401,950,720

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Solution

The third proportional to 41,675,999,232 and 89,401,950,720 is: 191,782,055,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,675,999,232 : 89,401,950,720 = 89,401,950,720 : x
  2. Step 2: Convert to fraction form
    41,675,999,232/89,401,950,720 = 89,401,950,720/x
  3. Step 3: Cross multiply
    41,675,999,232x = 89,401,950,720 × 89,401,950,720
  4. Step 4: Simplify right side
    41,675,999,232x = 7,992,708,792,541,308,256,256
  5. Step 5: Solve for x
    x = 7,992,708,792,541,308,256,256/41,675,999,232
  6. Step 6: Final answer
    x = 191,782,055,375.51

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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.