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Finding the Third Proportional to 7,198,709.75 and 10,185,954

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Solution

The third proportional to 7,198,709.75 and 10,185,954 is: 14,412,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,709.75 : 10,185,954 = 10,185,954 : x
  2. Step 2: Convert to fraction form
    7,198,709.75/10,185,954 = 10,185,954/x
  3. Step 3: Cross multiply
    7,198,709.75x = 10,185,954 × 10,185,954
  4. Step 4: Simplify right side
    7,198,709.75x = 103,753,658,890,116
  5. Step 5: Solve for x
    x = 103,753,658,890,116/7,198,709.75
  6. Step 6: Final answer
    x = 14,412,813.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.