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Finding the Third Proportional to 3,532,039.31 and 7,628,729.63

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Solution

The third proportional to 3,532,039.31 and 7,628,729.63 is: 16,477,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532,039.31 : 7,628,729.63 = 7,628,729.63 : x
  2. Step 2: Convert to fraction form
    3,532,039.31/7,628,729.63 = 7,628,729.63/x
  3. Step 3: Cross multiply
    3,532,039.31x = 7,628,729.63 × 7,628,729.63
  4. Step 4: Simplify right side
    3,532,039.31x = 58,197,515,691,352.64
  5. Step 5: Solve for x
    x = 58,197,515,691,352.64/3,532,039.31
  6. Step 6: Final answer
    x = 16,477,029.43

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Why These Related Problems?

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