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Finding the Third Proportional to 3,828,906 and 8,164,649

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Solution

The third proportional to 3,828,906 and 8,164,649 is: 17,410,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,906 : 8,164,649 = 8,164,649 : x
  2. Step 2: Convert to fraction form
    3,828,906/8,164,649 = 8,164,649/x
  3. Step 3: Cross multiply
    3,828,906x = 8,164,649 × 8,164,649
  4. Step 4: Simplify right side
    3,828,906x = 66,661,493,293,201
  5. Step 5: Solve for x
    x = 66,661,493,293,201/3,828,906
  6. Step 6: Final answer
    x = 17,410,062.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.