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Finding the Third Proportional to 6,164,104 and 8,181,276

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Solution

The third proportional to 6,164,104 and 8,181,276 is: 10,858,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,104 : 8,181,276 = 8,181,276 : x
  2. Step 2: Convert to fraction form
    6,164,104/8,181,276 = 8,181,276/x
  3. Step 3: Cross multiply
    6,164,104x = 8,181,276 × 8,181,276
  4. Step 4: Simplify right side
    6,164,104x = 66,933,276,988,176
  5. Step 5: Solve for x
    x = 66,933,276,988,176/6,164,104
  6. Step 6: Final answer
    x = 10,858,557.38

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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.