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Finding the Third Proportional to 41,675,999,240 and 89,401,950,734

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Solution

The third proportional to 41,675,999,240 and 89,401,950,734 is: 191,782,055,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,675,999,240 : 89,401,950,734 = 89,401,950,734 : x
  2. Step 2: Convert to fraction form
    41,675,999,240/89,401,950,734 = 89,401,950,734/x
  3. Step 3: Cross multiply
    41,675,999,240x = 89,401,950,734 × 89,401,950,734
  4. Step 4: Simplify right side
    41,675,999,240x = 7,992,708,795,044,563,255,296
  5. Step 5: Solve for x
    x = 7,992,708,795,044,563,255,296/41,675,999,240
  6. Step 6: Final answer
    x = 191,782,055,398.77

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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.