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Finding the Third Proportional to 32,324,592 and 71,823,651

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Solution

The third proportional to 32,324,592 and 71,823,651 is: 159,588,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,592 : 71,823,651 = 71,823,651 : x
  2. Step 2: Convert to fraction form
    32,324,592/71,823,651 = 71,823,651/x
  3. Step 3: Cross multiply
    32,324,592x = 71,823,651 × 71,823,651
  4. Step 4: Simplify right side
    32,324,592x = 5,158,636,842,969,801
  5. Step 5: Solve for x
    x = 5,158,636,842,969,801/32,324,592
  6. Step 6: Final answer
    x = 159,588,614.23

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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.