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Finding the Third Proportional to 33,309,076 and 74,276,868

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Solution

The third proportional to 33,309,076 and 74,276,868 is: 165,632,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309,076 : 74,276,868 = 74,276,868 : x
  2. Step 2: Convert to fraction form
    33,309,076/74,276,868 = 74,276,868/x
  3. Step 3: Cross multiply
    33,309,076x = 74,276,868 × 74,276,868
  4. Step 4: Simplify right side
    33,309,076x = 5,517,053,119,889,424
  5. Step 5: Solve for x
    x = 5,517,053,119,889,424/33,309,076
  6. Step 6: Final answer
    x = 165,632,127.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.