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Finding the Third Proportional to 23,125,204.69 and 51,420,840

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Solution

The third proportional to 23,125,204.69 and 51,420,840 is: 114,338,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125,204.69 : 51,420,840 = 51,420,840 : x
  2. Step 2: Convert to fraction form
    23,125,204.69/51,420,840 = 51,420,840/x
  3. Step 3: Cross multiply
    23,125,204.69x = 51,420,840 × 51,420,840
  4. Step 4: Simplify right side
    23,125,204.69x = 2,644,102,786,305,600
  5. Step 5: Solve for x
    x = 2,644,102,786,305,600/23,125,204.69
  6. Step 6: Final answer
    x = 114,338,567.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.