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Finding the Third Proportional to 10,829,908 and 16,247,022

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Solution

The third proportional to 10,829,908 and 16,247,022 is: 24,373,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,908 : 16,247,022 = 16,247,022 : x
  2. Step 2: Convert to fraction form
    10,829,908/16,247,022 = 16,247,022/x
  3. Step 3: Cross multiply
    10,829,908x = 16,247,022 × 16,247,022
  4. Step 4: Simplify right side
    10,829,908x = 263,965,723,868,484
  5. Step 5: Solve for x
    x = 263,965,723,868,484/10,829,908
  6. Step 6: Final answer
    x = 24,373,773.43

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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.