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Finding the Third Proportional to 3,493,878 and 7,407,642

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Solution

The third proportional to 3,493,878 and 7,407,642 is: 15,705,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,878 : 7,407,642 = 7,407,642 : x
  2. Step 2: Convert to fraction form
    3,493,878/7,407,642 = 7,407,642/x
  3. Step 3: Cross multiply
    3,493,878x = 7,407,642 × 7,407,642
  4. Step 4: Simplify right side
    3,493,878x = 54,873,160,000,164
  5. Step 5: Solve for x
    x = 54,873,160,000,164/3,493,878
  6. Step 6: Final answer
    x = 15,705,516.91

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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.