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Finding the Third Proportional to 15,674,900 and 24,211,266

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Solution

The third proportional to 15,674,900 and 24,211,266 is: 37,396,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674,900 : 24,211,266 = 24,211,266 : x
  2. Step 2: Convert to fraction form
    15,674,900/24,211,266 = 24,211,266/x
  3. Step 3: Cross multiply
    15,674,900x = 24,211,266 × 24,211,266
  4. Step 4: Simplify right side
    15,674,900x = 586,185,401,322,756
  5. Step 5: Solve for x
    x = 586,185,401,322,756/15,674,900
  6. Step 6: Final answer
    x = 37,396,436.43

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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.