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Finding the Third Proportional to 33,437,099 and 67,814,373

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Solution

The third proportional to 33,437,099 and 67,814,373 is: 137,535,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437,099 : 67,814,373 = 67,814,373 : x
  2. Step 2: Convert to fraction form
    33,437,099/67,814,373 = 67,814,373/x
  3. Step 3: Cross multiply
    33,437,099x = 67,814,373 × 67,814,373
  4. Step 4: Simplify right side
    33,437,099x = 4,598,789,185,383,129
  5. Step 5: Solve for x
    x = 4,598,789,185,383,129/33,437,099
  6. Step 6: Final answer
    x = 137,535,531.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.