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Finding the Third Proportional to 6,464,910 and 14,141,406

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Solution

The third proportional to 6,464,910 and 14,141,406 is: 30,933,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,910 : 14,141,406 = 14,141,406 : x
  2. Step 2: Convert to fraction form
    6,464,910/14,141,406 = 14,141,406/x
  3. Step 3: Cross multiply
    6,464,910x = 14,141,406 × 14,141,406
  4. Step 4: Simplify right side
    6,464,910x = 199,979,363,656,836
  5. Step 5: Solve for x
    x = 199,979,363,656,836/6,464,910
  6. Step 6: Final answer
    x = 30,933,046.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.