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Finding the Third Proportional to 23,533,489.50 and 51,235,402.50

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Solution

The third proportional to 23,533,489.50 and 51,235,402.50 is: 111,545,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533,489.50 : 51,235,402.50 = 51,235,402.50 : x
  2. Step 2: Convert to fraction form
    23,533,489.50/51,235,402.50 = 51,235,402.50/x
  3. Step 3: Cross multiply
    23,533,489.50x = 51,235,402.50 × 51,235,402.50
  4. Step 4: Simplify right side
    23,533,489.50x = 2,625,066,469,337,006
  5. Step 5: Solve for x
    x = 2,625,066,469,337,006/23,533,489.50
  6. Step 6: Final answer
    x = 111,545,993.61

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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.