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Finding the Third Proportional to 3,493,776 and 7,407,450

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Solution

The third proportional to 3,493,776 and 7,407,450 is: 15,705,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493,776 : 7,407,450 = 7,407,450 : x
  2. Step 2: Convert to fraction form
    3,493,776/7,407,450 = 7,407,450/x
  3. Step 3: Cross multiply
    3,493,776x = 7,407,450 × 7,407,450
  4. Step 4: Simplify right side
    3,493,776x = 54,870,315,502,500
  5. Step 5: Solve for x
    x = 54,870,315,502,500/3,493,776
  6. Step 6: Final answer
    x = 15,705,161.26

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Why These Related Problems?

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