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Finding the Third Proportional to 16,869,716,194 and 35,135,728,866

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Solution

The third proportional to 16,869,716,194 and 35,135,728,866 is: 73,179,621,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869,716,194 : 35,135,728,866 = 35,135,728,866 : x
  2. Step 2: Convert to fraction form
    16,869,716,194/35,135,728,866 = 35,135,728,866/x
  3. Step 3: Cross multiply
    16,869,716,194x = 35,135,728,866 × 35,135,728,866
  4. Step 4: Simplify right side
    16,869,716,194x = 1,234,519,442,945,065,615,360
  5. Step 5: Solve for x
    x = 1,234,519,442,945,065,615,360/16,869,716,194
  6. Step 6: Final answer
    x = 73,179,621,325.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.