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Finding the Third Proportional to 22,836,107.75 and 32,994,231

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Solution

The third proportional to 22,836,107.75 and 32,994,231 is: 47,670,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836,107.75 : 32,994,231 = 32,994,231 : x
  2. Step 2: Convert to fraction form
    22,836,107.75/32,994,231 = 32,994,231/x
  3. Step 3: Cross multiply
    22,836,107.75x = 32,994,231 × 32,994,231
  4. Step 4: Simplify right side
    22,836,107.75x = 1,088,619,279,281,361
  5. Step 5: Solve for x
    x = 1,088,619,279,281,361/22,836,107.75
  6. Step 6: Final answer
    x = 47,670,964.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.