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Finding the Third Proportional to 15,674,872.25 and 24,211,223.75

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Solution

The third proportional to 15,674,872.25 and 24,211,223.75 is: 37,396,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674,872.25 : 24,211,223.75 = 24,211,223.75 : x
  2. Step 2: Convert to fraction form
    15,674,872.25/24,211,223.75 = 24,211,223.75/x
  3. Step 3: Cross multiply
    15,674,872.25x = 24,211,223.75 × 24,211,223.75
  4. Step 4: Simplify right side
    15,674,872.25x = 586,183,355,472,564
  5. Step 5: Solve for x
    x = 586,183,355,472,564/15,674,872.25
  6. Step 6: Final answer
    x = 37,396,372.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.