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Finding the Third Proportional to 9,907,288.59 and 20,093,147.44

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Solution

The third proportional to 9,907,288.59 and 20,093,147.44 is: 40,751,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907,288.59 : 20,093,147.44 = 20,093,147.44 : x
  2. Step 2: Convert to fraction form
    9,907,288.59/20,093,147.44 = 20,093,147.44/x
  3. Step 3: Cross multiply
    9,907,288.59x = 20,093,147.44 × 20,093,147.44
  4. Step 4: Simplify right side
    9,907,288.59x = 403,734,573,945,112.81
  5. Step 5: Solve for x
    x = 403,734,573,945,112.81/9,907,288.59
  6. Step 6: Final answer
    x = 40,751,268.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.