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Finding the Third Proportional to 31,037,998.50 and 73,165,180.50

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Solution

The third proportional to 31,037,998.50 and 73,165,180.50 is: 172,470,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,998.50 : 73,165,180.50 = 73,165,180.50 : x
  2. Step 2: Convert to fraction form
    31,037,998.50/73,165,180.50 = 73,165,180.50/x
  3. Step 3: Cross multiply
    31,037,998.50x = 73,165,180.50 × 73,165,180.50
  4. Step 4: Simplify right side
    31,037,998.50x = 5,353,143,637,597,580
  5. Step 5: Solve for x
    x = 5,353,143,637,597,580/31,037,998.50
  6. Step 6: Final answer
    x = 172,470,645.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.