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Finding the Third Proportional to 23,022,810 and 49,529,512.50

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Solution

The third proportional to 23,022,810 and 49,529,512.50 is: 106,554,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022,810 : 49,529,512.50 = 49,529,512.50 : x
  2. Step 2: Convert to fraction form
    23,022,810/49,529,512.50 = 49,529,512.50/x
  3. Step 3: Cross multiply
    23,022,810x = 49,529,512.50 × 49,529,512.50
  4. Step 4: Simplify right side
    23,022,810x = 2,453,172,608,487,656
  5. Step 5: Solve for x
    x = 2,453,172,608,487,656/23,022,810
  6. Step 6: Final answer
    x = 106,554,004.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.