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Finding the Third Proportional to 33,820,324 and 74,104,424

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Solution

The third proportional to 33,820,324 and 74,104,424 is: 162,371,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820,324 : 74,104,424 = 74,104,424 : x
  2. Step 2: Convert to fraction form
    33,820,324/74,104,424 = 74,104,424/x
  3. Step 3: Cross multiply
    33,820,324x = 74,104,424 × 74,104,424
  4. Step 4: Simplify right side
    33,820,324x = 5,491,465,656,371,776
  5. Step 5: Solve for x
    x = 5,491,465,656,371,776/33,820,324
  6. Step 6: Final answer
    x = 162,371,763.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.