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Finding the Third Proportional to 33,674,900 and 72,606,096

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Solution

The third proportional to 33,674,900 and 72,606,096 is: 156,545,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,674,900 : 72,606,096 = 72,606,096 : x
  2. Step 2: Convert to fraction form
    33,674,900/72,606,096 = 72,606,096/x
  3. Step 3: Cross multiply
    33,674,900x = 72,606,096 × 72,606,096
  4. Step 4: Simplify right side
    33,674,900x = 5,271,645,176,361,216
  5. Step 5: Solve for x
    x = 5,271,645,176,361,216/33,674,900
  6. Step 6: Final answer
    x = 156,545,236.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.