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Finding the Third Proportional to 31,037,998 and 73,165,194

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Solution

The third proportional to 31,037,998 and 73,165,194 is: 172,470,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,998 : 73,165,194 = 73,165,194 : x
  2. Step 2: Convert to fraction form
    31,037,998/73,165,194 = 73,165,194/x
  3. Step 3: Cross multiply
    31,037,998x = 73,165,194 × 73,165,194
  4. Step 4: Simplify right side
    31,037,998x = 5,353,145,613,057,636
  5. Step 5: Solve for x
    x = 5,353,145,613,057,636/31,037,998
  6. Step 6: Final answer
    x = 172,470,711.97

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