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Finding the Third Proportional to 22,457,864 and 49,393,680

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Solution

The third proportional to 22,457,864 and 49,393,680 is: 108,636,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457,864 : 49,393,680 = 49,393,680 : x
  2. Step 2: Convert to fraction form
    22,457,864/49,393,680 = 49,393,680/x
  3. Step 3: Cross multiply
    22,457,864x = 49,393,680 × 49,393,680
  4. Step 4: Simplify right side
    22,457,864x = 2,439,735,623,942,400
  5. Step 5: Solve for x
    x = 2,439,735,623,942,400/22,457,864
  6. Step 6: Final answer
    x = 108,636,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.