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Finding the Third Proportional to 11,205,477 and 16,487,786.25

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Solution

The third proportional to 11,205,477 and 16,487,786.25 is: 24,260,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205,477 : 16,487,786.25 = 16,487,786.25 : x
  2. Step 2: Convert to fraction form
    11,205,477/16,487,786.25 = 16,487,786.25/x
  3. Step 3: Cross multiply
    11,205,477x = 16,487,786.25 × 16,487,786.25
  4. Step 4: Simplify right side
    11,205,477x = 271,847,095,425,689.06
  5. Step 5: Solve for x
    x = 271,847,095,425,689.06/11,205,477
  6. Step 6: Final answer
    x = 24,260,198.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.