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Finding the Third Proportional to 6,164,116 and 8,181,294

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Solution

The third proportional to 6,164,116 and 8,181,294 is: 10,858,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,116 : 8,181,294 = 8,181,294 : x
  2. Step 2: Convert to fraction form
    6,164,116/8,181,294 = 8,181,294/x
  3. Step 3: Cross multiply
    6,164,116x = 8,181,294 × 8,181,294
  4. Step 4: Simplify right side
    6,164,116x = 66,933,571,514,436
  5. Step 5: Solve for x
    x = 66,933,571,514,436/6,164,116
  6. Step 6: Final answer
    x = 10,858,584.02

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