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Finding the Third Proportional to 10,805,105.25 and 23,584,815

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Solution

The third proportional to 10,805,105.25 and 23,584,815 is: 51,479,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805,105.25 : 23,584,815 = 23,584,815 : x
  2. Step 2: Convert to fraction form
    10,805,105.25/23,584,815 = 23,584,815/x
  3. Step 3: Cross multiply
    10,805,105.25x = 23,584,815 × 23,584,815
  4. Step 4: Simplify right side
    10,805,105.25x = 556,243,498,584,225
  5. Step 5: Solve for x
    x = 556,243,498,584,225/10,805,105.25
  6. Step 6: Final answer
    x = 51,479,692.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.