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Finding the Third Proportional to 33,836,832 and 71,531,046

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Solution

The third proportional to 33,836,832 and 71,531,046 is: 151,216,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836,832 : 71,531,046 = 71,531,046 : x
  2. Step 2: Convert to fraction form
    33,836,832/71,531,046 = 71,531,046/x
  3. Step 3: Cross multiply
    33,836,832x = 71,531,046 × 71,531,046
  4. Step 4: Simplify right side
    33,836,832x = 5,116,690,541,854,116
  5. Step 5: Solve for x
    x = 5,116,690,541,854,116/33,836,832
  6. Step 6: Final answer
    x = 151,216,595.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.