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Finding the Third Proportional to 33,518,236.50 and 71,996,953.50

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Solution

The third proportional to 33,518,236.50 and 71,996,953.50 is: 154,648,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,518,236.50 : 71,996,953.50 = 71,996,953.50 : x
  2. Step 2: Convert to fraction form
    33,518,236.50/71,996,953.50 = 71,996,953.50/x
  3. Step 3: Cross multiply
    33,518,236.50x = 71,996,953.50 × 71,996,953.50
  4. Step 4: Simplify right side
    33,518,236.50x = 5,183,561,313,281,162
  5. Step 5: Solve for x
    x = 5,183,561,313,281,162/33,518,236.50
  6. Step 6: Final answer
    x = 154,648,986.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.