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Finding the Third Proportional to 14,551,193.25 and 22,826,493

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Solution

The third proportional to 14,551,193.25 and 22,826,493 is: 35,807,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551,193.25 : 22,826,493 = 22,826,493 : x
  2. Step 2: Convert to fraction form
    14,551,193.25/22,826,493 = 22,826,493/x
  3. Step 3: Cross multiply
    14,551,193.25x = 22,826,493 × 22,826,493
  4. Step 4: Simplify right side
    14,551,193.25x = 521,048,782,679,049
  5. Step 5: Solve for x
    x = 521,048,782,679,049/14,551,193.25
  6. Step 6: Final answer
    x = 35,807,976.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.