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Finding the Third Proportional to 6,132,195 and 12,899,997

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Solution

The third proportional to 6,132,195 and 12,899,997 is: 27,137,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132,195 : 12,899,997 = 12,899,997 : x
  2. Step 2: Convert to fraction form
    6,132,195/12,899,997 = 12,899,997/x
  3. Step 3: Cross multiply
    6,132,195x = 12,899,997 × 12,899,997
  4. Step 4: Simplify right side
    6,132,195x = 166,409,922,600,009
  5. Step 5: Solve for x
    x = 166,409,922,600,009/6,132,195
  6. Step 6: Final answer
    x = 27,137,089.18

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.