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Finding the Third Proportional to 32,324,622 and 71,823,711

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Solution

The third proportional to 32,324,622 and 71,823,711 is: 159,588,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,622 : 71,823,711 = 71,823,711 : x
  2. Step 2: Convert to fraction form
    32,324,622/71,823,711 = 71,823,711/x
  3. Step 3: Cross multiply
    32,324,622x = 71,823,711 × 71,823,711
  4. Step 4: Simplify right side
    32,324,622x = 5,158,645,461,811,521
  5. Step 5: Solve for x
    x = 5,158,645,461,811,521/32,324,622
  6. Step 6: Final answer
    x = 159,588,732.76

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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.