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Finding the Third Proportional to 33,977,311 and 73,623,324

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Solution

The third proportional to 33,977,311 and 73,623,324 is: 159,529,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977,311 : 73,623,324 = 73,623,324 : x
  2. Step 2: Convert to fraction form
    33,977,311/73,623,324 = 73,623,324/x
  3. Step 3: Cross multiply
    33,977,311x = 73,623,324 × 73,623,324
  4. Step 4: Simplify right side
    33,977,311x = 5,420,393,836,808,976
  5. Step 5: Solve for x
    x = 5,420,393,836,808,976/33,977,311
  6. Step 6: Final answer
    x = 159,529,806.13

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Why These Related Problems?

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