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Finding the Third Proportional to 7,175,107.83 and 11,043,496.97

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Solution

The third proportional to 7,175,107.83 and 11,043,496.97 is: 16,997,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175,107.83 : 11,043,496.97 = 11,043,496.97 : x
  2. Step 2: Convert to fraction form
    7,175,107.83/11,043,496.97 = 11,043,496.97/x
  3. Step 3: Cross multiply
    7,175,107.83x = 11,043,496.97 × 11,043,496.97
  4. Step 4: Simplify right side
    7,175,107.83x = 121,958,825,298,790.44
  5. Step 5: Solve for x
    x = 121,958,825,298,790.44/7,175,107.83
  6. Step 6: Final answer
    x = 16,997,490.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.