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Finding the Third Proportional to 2,475,978 and 5,220,715.50

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Solution

The third proportional to 2,475,978 and 5,220,715.50 is: 11,008,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,978 : 5,220,715.50 = 5,220,715.50 : x
  2. Step 2: Convert to fraction form
    2,475,978/5,220,715.50 = 5,220,715.50/x
  3. Step 3: Cross multiply
    2,475,978x = 5,220,715.50 × 5,220,715.50
  4. Step 4: Simplify right side
    2,475,978x = 27,255,870,331,940.25
  5. Step 5: Solve for x
    x = 27,255,870,331,940.25/2,475,978
  6. Step 6: Final answer
    x = 11,008,122.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.