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Finding the Third Proportional to 33,541,348.50 and 71,475,273

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Solution

The third proportional to 33,541,348.50 and 71,475,273 is: 152,310,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541,348.50 : 71,475,273 = 71,475,273 : x
  2. Step 2: Convert to fraction form
    33,541,348.50/71,475,273 = 71,475,273/x
  3. Step 3: Cross multiply
    33,541,348.50x = 71,475,273 × 71,475,273
  4. Step 4: Simplify right side
    33,541,348.50x = 5,108,714,650,424,529
  5. Step 5: Solve for x
    x = 5,108,714,650,424,529/33,541,348.50
  6. Step 6: Final answer
    x = 152,310,949.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.