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Finding the Third Proportional to 6,889,600 and 16,092,096

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Solution

The third proportional to 6,889,600 and 16,092,096 is: 37,586,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889,600 : 16,092,096 = 16,092,096 : x
  2. Step 2: Convert to fraction form
    6,889,600/16,092,096 = 16,092,096/x
  3. Step 3: Cross multiply
    6,889,600x = 16,092,096 × 16,092,096
  4. Step 4: Simplify right side
    6,889,600x = 258,955,553,673,216
  5. Step 5: Solve for x
    x = 258,955,553,673,216/6,889,600
  6. Step 6: Final answer
    x = 37,586,442.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.