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Finding the Third Proportional to 3,493,856 and 7,407,664

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Solution

The third proportional to 3,493,856 and 7,407,664 is: 15,705,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,856 : 7,407,664 = 7,407,664 : x
  2. Step 2: Convert to fraction form
    3,493,856/7,407,664 = 7,407,664/x
  3. Step 3: Cross multiply
    3,493,856x = 7,407,664 × 7,407,664
  4. Step 4: Simplify right side
    3,493,856x = 54,873,485,936,896
  5. Step 5: Solve for x
    x = 54,873,485,936,896/3,493,856
  6. Step 6: Final answer
    x = 15,705,709.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.