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Finding the Third Proportional to 6,162,976 and 13,742,176

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Solution

The third proportional to 6,162,976 and 13,742,176 is: 30,642,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162,976 : 13,742,176 = 13,742,176 : x
  2. Step 2: Convert to fraction form
    6,162,976/13,742,176 = 13,742,176/x
  3. Step 3: Cross multiply
    6,162,976x = 13,742,176 × 13,742,176
  4. Step 4: Simplify right side
    6,162,976x = 188,847,401,214,976
  5. Step 5: Solve for x
    x = 188,847,401,214,976/6,162,976
  6. Step 6: Final answer
    x = 30,642,241.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.