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Finding the Third Proportional to 8,216,162 and 12,019,923

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Solution

The third proportional to 8,216,162 and 12,019,923 is: 17,584,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,162 : 12,019,923 = 12,019,923 : x
  2. Step 2: Convert to fraction form
    8,216,162/12,019,923 = 12,019,923/x
  3. Step 3: Cross multiply
    8,216,162x = 12,019,923 × 12,019,923
  4. Step 4: Simplify right side
    8,216,162x = 144,478,548,925,929
  5. Step 5: Solve for x
    x = 144,478,548,925,929/8,216,162
  6. Step 6: Final answer
    x = 17,584,676.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.