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Finding the Third Proportional to 4,428,131.06 and 7,230,739.22

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Solution

The third proportional to 4,428,131.06 and 7,230,739.22 is: 11,807,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428,131.06 : 7,230,739.22 = 7,230,739.22 : x
  2. Step 2: Convert to fraction form
    4,428,131.06/7,230,739.22 = 7,230,739.22/x
  3. Step 3: Cross multiply
    4,428,131.06x = 7,230,739.22 × 7,230,739.22
  4. Step 4: Simplify right side
    4,428,131.06x = 52,283,589,649,569.36
  5. Step 5: Solve for x
    x = 52,283,589,649,569.36/4,428,131.06
  6. Step 6: Final answer
    x = 11,807,145.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.