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Finding the Third Proportional to 41,658,597,360 and 91,275,961,716

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Solution

The third proportional to 41,658,597,360 and 91,275,961,716 is: 199,989,959,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658,597,360 : 91,275,961,716 = 91,275,961,716 : x
  2. Step 2: Convert to fraction form
    41,658,597,360/91,275,961,716 = 91,275,961,716/x
  3. Step 3: Cross multiply
    41,658,597,360x = 91,275,961,716 × 91,275,961,716
  4. Step 4: Simplify right side
    41,658,597,360x = 8,331,301,187,180,697,747,456
  5. Step 5: Solve for x
    x = 8,331,301,187,180,697,747,456/41,658,597,360
  6. Step 6: Final answer
    x = 199,989,959,219.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.