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Finding the Third Proportional to 7,692,096 and 16,413,738

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Solution

The third proportional to 7,692,096 and 16,413,738 is: 35,024,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,096 : 16,413,738 = 16,413,738 : x
  2. Step 2: Convert to fraction form
    7,692,096/16,413,738 = 16,413,738/x
  3. Step 3: Cross multiply
    7,692,096x = 16,413,738 × 16,413,738
  4. Step 4: Simplify right side
    7,692,096x = 269,410,795,132,644
  5. Step 5: Solve for x
    x = 269,410,795,132,644/7,692,096
  6. Step 6: Final answer
    x = 35,024,367.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.