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Finding the Third Proportional to 5,305,572 and 8,008,786.50

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Solution

The third proportional to 5,305,572 and 8,008,786.50 is: 12,089,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,572 : 8,008,786.50 = 8,008,786.50 : x
  2. Step 2: Convert to fraction form
    5,305,572/8,008,786.50 = 8,008,786.50/x
  3. Step 3: Cross multiply
    5,305,572x = 8,008,786.50 × 8,008,786.50
  4. Step 4: Simplify right side
    5,305,572x = 64,140,661,202,582.25
  5. Step 5: Solve for x
    x = 64,140,661,202,582.25/5,305,572
  6. Step 6: Final answer
    x = 12,089,301.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.