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Finding the Third Proportional to 3,851,899.50 and 9,109,314

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Solution

The third proportional to 3,851,899.50 and 9,109,314 is: 21,542,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851,899.50 : 9,109,314 = 9,109,314 : x
  2. Step 2: Convert to fraction form
    3,851,899.50/9,109,314 = 9,109,314/x
  3. Step 3: Cross multiply
    3,851,899.50x = 9,109,314 × 9,109,314
  4. Step 4: Simplify right side
    3,851,899.50x = 82,979,601,550,596
  5. Step 5: Solve for x
    x = 82,979,601,550,596/3,851,899.50
  6. Step 6: Final answer
    x = 21,542,514.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.