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Finding the Third Proportional to 10,829,904 and 16,247,016

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Solution

The third proportional to 10,829,904 and 16,247,016 is: 24,373,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,904 : 16,247,016 = 16,247,016 : x
  2. Step 2: Convert to fraction form
    10,829,904/16,247,016 = 16,247,016/x
  3. Step 3: Cross multiply
    10,829,904x = 16,247,016 × 16,247,016
  4. Step 4: Simplify right side
    10,829,904x = 263,965,528,904,256
  5. Step 5: Solve for x
    x = 263,965,528,904,256/10,829,904
  6. Step 6: Final answer
    x = 24,373,764.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.