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Finding the Third Proportional to 6,661,989,978 and 14,813,505,798

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Solution

The third proportional to 6,661,989,978 and 14,813,505,798 is: 32,939,099,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661,989,978 : 14,813,505,798 = 14,813,505,798 : x
  2. Step 2: Convert to fraction form
    6,661,989,978/14,813,505,798 = 14,813,505,798/x
  3. Step 3: Cross multiply
    6,661,989,978x = 14,813,505,798 × 14,813,505,798
  4. Step 4: Simplify right side
    6,661,989,978x = 219,439,954,027,379,621,888
  5. Step 5: Solve for x
    x = 219,439,954,027,379,621,888/6,661,989,978
  6. Step 6: Final answer
    x = 32,939,099,991.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.