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Finding the Third Proportional to 32,324,696 and 71,823,859

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Solution

The third proportional to 32,324,696 and 71,823,859 is: 159,589,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,696 : 71,823,859 = 71,823,859 : x
  2. Step 2: Convert to fraction form
    32,324,696/71,823,859 = 71,823,859/x
  3. Step 3: Cross multiply
    32,324,696x = 71,823,859 × 71,823,859
  4. Step 4: Simplify right side
    32,324,696x = 5,158,666,721,651,881
  5. Step 5: Solve for x
    x = 5,158,666,721,651,881/32,324,696
  6. Step 6: Final answer
    x = 159,589,025.11

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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.