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Finding the Third Proportional to 33,658,934 and 73,702,292

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Solution

The third proportional to 33,658,934 and 73,702,292 is: 161,384,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658,934 : 73,702,292 = 73,702,292 : x
  2. Step 2: Convert to fraction form
    33,658,934/73,702,292 = 73,702,292/x
  3. Step 3: Cross multiply
    33,658,934x = 73,702,292 × 73,702,292
  4. Step 4: Simplify right side
    33,658,934x = 5,432,027,846,053,264
  5. Step 5: Solve for x
    x = 5,432,027,846,053,264/33,658,934
  6. Step 6: Final answer
    x = 161,384,429.05

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Why These Related Problems?

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