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Finding the Third Proportional to 7,462,200 and 11,191,105

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Solution

The third proportional to 7,462,200 and 11,191,105 is: 16,783,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462,200 : 11,191,105 = 11,191,105 : x
  2. Step 2: Convert to fraction form
    7,462,200/11,191,105 = 11,191,105/x
  3. Step 3: Cross multiply
    7,462,200x = 11,191,105 × 11,191,105
  4. Step 4: Simplify right side
    7,462,200x = 125,240,831,121,025
  5. Step 5: Solve for x
    x = 125,240,831,121,025/7,462,200
  6. Step 6: Final answer
    x = 16,783,365.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.