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Finding the Third Proportional to 7,727,405 and 16,782,238

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Solution

The third proportional to 7,727,405 and 16,782,238 is: 36,447,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,405 : 16,782,238 = 16,782,238 : x
  2. Step 2: Convert to fraction form
    7,727,405/16,782,238 = 16,782,238/x
  3. Step 3: Cross multiply
    7,727,405x = 16,782,238 × 16,782,238
  4. Step 4: Simplify right side
    7,727,405x = 281,643,512,288,644
  5. Step 5: Solve for x
    x = 281,643,512,288,644/7,727,405
  6. Step 6: Final answer
    x = 36,447,360.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.