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Finding the Third Proportional to 32,324,700 and 71,823,868

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Solution

The third proportional to 32,324,700 and 71,823,868 is: 159,589,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,700 : 71,823,868 = 71,823,868 : x
  2. Step 2: Convert to fraction form
    32,324,700/71,823,868 = 71,823,868/x
  3. Step 3: Cross multiply
    32,324,700x = 71,823,868 × 71,823,868
  4. Step 4: Simplify right side
    32,324,700x = 5,158,668,014,481,424
  5. Step 5: Solve for x
    x = 5,158,668,014,481,424/32,324,700
  6. Step 6: Final answer
    x = 159,589,045.36

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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.