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Finding the Third Proportional to 6,164,122 and 8,181,303

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Solution

The third proportional to 6,164,122 and 8,181,303 is: 10,858,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,122 : 8,181,303 = 8,181,303 : x
  2. Step 2: Convert to fraction form
    6,164,122/8,181,303 = 8,181,303/x
  3. Step 3: Cross multiply
    6,164,122x = 8,181,303 × 8,181,303
  4. Step 4: Simplify right side
    6,164,122x = 66,933,718,777,809
  5. Step 5: Solve for x
    x = 66,933,718,777,809/6,164,122
  6. Step 6: Final answer
    x = 10,858,597.34

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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.