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Finding the Third Proportional to 32,324,656 and 71,823,760

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Solution

The third proportional to 32,324,656 and 71,823,760 is: 159,588,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324,656 : 71,823,760 = 71,823,760 : x
  2. Step 2: Convert to fraction form
    32,324,656/71,823,760 = 71,823,760/x
  3. Step 3: Cross multiply
    32,324,656x = 71,823,760 × 71,823,760
  4. Step 4: Simplify right side
    32,324,656x = 5,158,652,500,537,600
  5. Step 5: Solve for x
    x = 5,158,652,500,537,600/32,324,656
  6. Step 6: Final answer
    x = 159,588,782.65

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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.