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Finding the Third Proportional to 3,081,032.25 and 6,649,218.75

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Solution

The third proportional to 3,081,032.25 and 6,649,218.75 is: 14,349,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081,032.25 : 6,649,218.75 = 6,649,218.75 : x
  2. Step 2: Convert to fraction form
    3,081,032.25/6,649,218.75 = 6,649,218.75/x
  3. Step 3: Cross multiply
    3,081,032.25x = 6,649,218.75 × 6,649,218.75
  4. Step 4: Simplify right side
    3,081,032.25x = 44,212,109,985,351.56
  5. Step 5: Solve for x
    x = 44,212,109,985,351.56/3,081,032.25
  6. Step 6: Final answer
    x = 14,349,771.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.