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Finding the Third Proportional to 15,624,720 and 34,228,512

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Solution

The third proportional to 15,624,720 and 34,228,512 is: 74,983,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624,720 : 34,228,512 = 34,228,512 : x
  2. Step 2: Convert to fraction form
    15,624,720/34,228,512 = 34,228,512/x
  3. Step 3: Cross multiply
    15,624,720x = 34,228,512 × 34,228,512
  4. Step 4: Simplify right side
    15,624,720x = 1,171,591,033,734,144
  5. Step 5: Solve for x
    x = 1,171,591,033,734,144/15,624,720
  6. Step 6: Final answer
    x = 74,983,169.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.