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Finding the Third Proportional to 33,042,659 and 71,576,968

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Solution

The third proportional to 33,042,659 and 71,576,968 is: 155,049,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042,659 : 71,576,968 = 71,576,968 : x
  2. Step 2: Convert to fraction form
    33,042,659/71,576,968 = 71,576,968/x
  3. Step 3: Cross multiply
    33,042,659x = 71,576,968 × 71,576,968
  4. Step 4: Simplify right side
    33,042,659x = 5,123,262,348,073,024
  5. Step 5: Solve for x
    x = 5,123,262,348,073,024/33,042,659
  6. Step 6: Final answer
    x = 155,049,941.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.