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Finding the Third Proportional to 8,089,947 and 17,380,563

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Solution

The third proportional to 8,089,947 and 17,380,563 is: 37,340,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089,947 : 17,380,563 = 17,380,563 : x
  2. Step 2: Convert to fraction form
    8,089,947/17,380,563 = 17,380,563/x
  3. Step 3: Cross multiply
    8,089,947x = 17,380,563 × 17,380,563
  4. Step 4: Simplify right side
    8,089,947x = 302,083,970,196,969
  5. Step 5: Solve for x
    x = 302,083,970,196,969/8,089,947
  6. Step 6: Final answer
    x = 37,340,661.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.