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Finding the Third Proportional to 16,003,296 and 22,868,340.75

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Solution

The third proportional to 16,003,296 and 22,868,340.75 is: 32,678,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003,296 : 22,868,340.75 = 22,868,340.75 : x
  2. Step 2: Convert to fraction form
    16,003,296/22,868,340.75 = 22,868,340.75/x
  3. Step 3: Cross multiply
    16,003,296x = 22,868,340.75 × 22,868,340.75
  4. Step 4: Simplify right side
    16,003,296x = 522,961,008,658,110.56
  5. Step 5: Solve for x
    x = 522,961,008,658,110.56/16,003,296
  6. Step 6: Final answer
    x = 32,678,331.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.