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Finding the Third Proportional to 6,965,950 and 10,244,169

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Solution

The third proportional to 6,965,950 and 10,244,169 is: 15,065,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,950 : 10,244,169 = 10,244,169 : x
  2. Step 2: Convert to fraction form
    6,965,950/10,244,169 = 10,244,169/x
  3. Step 3: Cross multiply
    6,965,950x = 10,244,169 × 10,244,169
  4. Step 4: Simplify right side
    6,965,950x = 104,942,998,500,561
  5. Step 5: Solve for x
    x = 104,942,998,500,561/6,965,950
  6. Step 6: Final answer
    x = 15,065,138.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.