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Finding the Third Proportional to 11,351,034 and 17,624,596.50

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Solution

The third proportional to 11,351,034 and 17,624,596.50 is: 27,365,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351,034 : 17,624,596.50 = 17,624,596.50 : x
  2. Step 2: Convert to fraction form
    11,351,034/17,624,596.50 = 17,624,596.50/x
  3. Step 3: Cross multiply
    11,351,034x = 17,624,596.50 × 17,624,596.50
  4. Step 4: Simplify right side
    11,351,034x = 310,626,401,787,812.25
  5. Step 5: Solve for x
    x = 310,626,401,787,812.25/11,351,034
  6. Step 6: Final answer
    x = 27,365,471.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.