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Finding the Third Proportional to 3,407,965.37 and 7,294,665.88

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Solution

The third proportional to 3,407,965.37 and 7,294,665.88 is: 15,614,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,965.37 : 7,294,665.88 = 7,294,665.88 : x
  2. Step 2: Convert to fraction form
    3,407,965.37/7,294,665.88 = 7,294,665.88/x
  3. Step 3: Cross multiply
    3,407,965.37x = 7,294,665.88 × 7,294,665.88
  4. Step 4: Simplify right side
    3,407,965.37x = 53,212,150,370,364.56
  5. Step 5: Solve for x
    x = 53,212,150,370,364.56/3,407,965.37
  6. Step 6: Final answer
    x = 15,614,052.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.