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Finding the Third Proportional to 5,795,932 and 12,733,640

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Solution

The third proportional to 5,795,932 and 12,733,640 is: 27,975,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795,932 : 12,733,640 = 12,733,640 : x
  2. Step 2: Convert to fraction form
    5,795,932/12,733,640 = 12,733,640/x
  3. Step 3: Cross multiply
    5,795,932x = 12,733,640 × 12,733,640
  4. Step 4: Simplify right side
    5,795,932x = 162,145,587,649,600
  5. Step 5: Solve for x
    x = 162,145,587,649,600/5,795,932
  6. Step 6: Final answer
    x = 27,975,757.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.