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Finding the Third Proportional to 6,164,210 and 8,179,203

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Solution

The third proportional to 6,164,210 and 8,179,203 is: 10,852,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,210 : 8,179,203 = 8,179,203 : x
  2. Step 2: Convert to fraction form
    6,164,210/8,179,203 = 8,179,203/x
  3. Step 3: Cross multiply
    6,164,210x = 8,179,203 × 8,179,203
  4. Step 4: Simplify right side
    6,164,210x = 66,899,361,715,209
  5. Step 5: Solve for x
    x = 66,899,361,715,209/6,164,210
  6. Step 6: Final answer
    x = 10,852,868.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.