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Finding the Third Proportional to 29,671,942.50 and 62,532,043.50

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Solution

The third proportional to 29,671,942.50 and 62,532,043.50 is: 131,782,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671,942.50 : 62,532,043.50 = 62,532,043.50 : x
  2. Step 2: Convert to fraction form
    29,671,942.50/62,532,043.50 = 62,532,043.50/x
  3. Step 3: Cross multiply
    29,671,942.50x = 62,532,043.50 × 62,532,043.50
  4. Step 4: Simplify right side
    29,671,942.50x = 3,910,256,464,285,892
  5. Step 5: Solve for x
    x = 3,910,256,464,285,892/29,671,942.50
  6. Step 6: Final answer
    x = 131,782,961.78

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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.