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Finding the Third Proportional to 23,148,576 and 34,083,324

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Solution

The third proportional to 23,148,576 and 34,083,324 is: 50,183,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148,576 : 34,083,324 = 34,083,324 : x
  2. Step 2: Convert to fraction form
    23,148,576/34,083,324 = 34,083,324/x
  3. Step 3: Cross multiply
    23,148,576x = 34,083,324 × 34,083,324
  4. Step 4: Simplify right side
    23,148,576x = 1,161,672,974,888,976
  5. Step 5: Solve for x
    x = 1,161,672,974,888,976/23,148,576
  6. Step 6: Final answer
    x = 50,183,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.