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Finding the Third Proportional to 32,515,695 and 75,872,576.25

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Solution

The third proportional to 32,515,695 and 75,872,576.25 is: 177,042,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515,695 : 75,872,576.25 = 75,872,576.25 : x
  2. Step 2: Convert to fraction form
    32,515,695/75,872,576.25 = 75,872,576.25/x
  3. Step 3: Cross multiply
    32,515,695x = 75,872,576.25 × 75,872,576.25
  4. Step 4: Simplify right side
    32,515,695x = 5,756,647,826,812,064
  5. Step 5: Solve for x
    x = 5,756,647,826,812,064/32,515,695
  6. Step 6: Final answer
    x = 177,042,127.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.