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Finding the Third Proportional to 11,332,223 and 24,281,376.50

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Solution

The third proportional to 11,332,223 and 24,281,376.50 is: 52,027,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332,223 : 24,281,376.50 = 24,281,376.50 : x
  2. Step 2: Convert to fraction form
    11,332,223/24,281,376.50 = 24,281,376.50/x
  3. Step 3: Cross multiply
    11,332,223x = 24,281,376.50 × 24,281,376.50
  4. Step 4: Simplify right side
    11,332,223x = 589,585,244,734,752.25
  5. Step 5: Solve for x
    x = 589,585,244,734,752.25/11,332,223
  6. Step 6: Final answer
    x = 52,027,324.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.