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Finding the Third Proportional to 3,689,529.75 and 8,089,834.50

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Solution

The third proportional to 3,689,529.75 and 8,089,834.50 is: 17,738,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689,529.75 : 8,089,834.50 = 8,089,834.50 : x
  2. Step 2: Convert to fraction form
    3,689,529.75/8,089,834.50 = 8,089,834.50/x
  3. Step 3: Cross multiply
    3,689,529.75x = 8,089,834.50 × 8,089,834.50
  4. Step 4: Simplify right side
    3,689,529.75x = 65,445,422,237,390.25
  5. Step 5: Solve for x
    x = 65,445,422,237,390.25/3,689,529.75
  6. Step 6: Final answer
    x = 17,738,147.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.