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Finding the Third Proportional to 5,615,668.50 and 8,024,919.75

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Solution

The third proportional to 5,615,668.50 and 8,024,919.75 is: 11,467,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,668.50 : 8,024,919.75 = 8,024,919.75 : x
  2. Step 2: Convert to fraction form
    5,615,668.50/8,024,919.75 = 8,024,919.75/x
  3. Step 3: Cross multiply
    5,615,668.50x = 8,024,919.75 × 8,024,919.75
  4. Step 4: Simplify right side
    5,615,668.50x = 64,399,336,993,940.06
  5. Step 5: Solve for x
    x = 64,399,336,993,940.06/5,615,668.50
  6. Step 6: Final answer
    x = 11,467,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.