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Finding the Third Proportional to 7,734,976 and 16,392,025

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Solution

The third proportional to 7,734,976 and 16,392,025 is: 34,738,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,976 : 16,392,025 = 16,392,025 : x
  2. Step 2: Convert to fraction form
    7,734,976/16,392,025 = 16,392,025/x
  3. Step 3: Cross multiply
    7,734,976x = 16,392,025 × 16,392,025
  4. Step 4: Simplify right side
    7,734,976x = 268,698,483,600,625
  5. Step 5: Solve for x
    x = 268,698,483,600,625/7,734,976
  6. Step 6: Final answer
    x = 34,738,114.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.