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Finding the Third Proportional to 5,147,038 and 11,141,324

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Solution

The third proportional to 5,147,038 and 11,141,324 is: 24,116,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,038 : 11,141,324 = 11,141,324 : x
  2. Step 2: Convert to fraction form
    5,147,038/11,141,324 = 11,141,324/x
  3. Step 3: Cross multiply
    5,147,038x = 11,141,324 × 11,141,324
  4. Step 4: Simplify right side
    5,147,038x = 124,129,100,472,976
  5. Step 5: Solve for x
    x = 124,129,100,472,976/5,147,038
  6. Step 6: Final answer
    x = 24,116,608.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.