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Finding the Third Proportional to 6,169,200 and 9,217,512

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Solution

The third proportional to 6,169,200 and 9,217,512 is: 13,772,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,200 : 9,217,512 = 9,217,512 : x
  2. Step 2: Convert to fraction form
    6,169,200/9,217,512 = 9,217,512/x
  3. Step 3: Cross multiply
    6,169,200x = 9,217,512 × 9,217,512
  4. Step 4: Simplify right side
    6,169,200x = 84,962,527,470,144
  5. Step 5: Solve for x
    x = 84,962,527,470,144/6,169,200
  6. Step 6: Final answer
    x = 13,772,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.