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Finding the Third Proportional to 4,405,825.41 and 6,735,400.59

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Solution

The third proportional to 4,405,825.41 and 6,735,400.59 is: 10,296,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405,825.41 : 6,735,400.59 = 6,735,400.59 : x
  2. Step 2: Convert to fraction form
    4,405,825.41/6,735,400.59 = 6,735,400.59/x
  3. Step 3: Cross multiply
    4,405,825.41x = 6,735,400.59 × 6,735,400.59
  4. Step 4: Simplify right side
    4,405,825.41x = 45,365,621,158,287.85
  5. Step 5: Solve for x
    x = 45,365,621,158,287.85/4,405,825.41
  6. Step 6: Final answer
    x = 10,296,736.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.