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Finding the Third Proportional to 4,575,568.50 and 6,504,889.78

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Solution

The third proportional to 4,575,568.50 and 6,504,889.78 is: 9,247,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,568.50 : 6,504,889.78 = 6,504,889.78 : x
  2. Step 2: Convert to fraction form
    4,575,568.50/6,504,889.78 = 6,504,889.78/x
  3. Step 3: Cross multiply
    4,575,568.50x = 6,504,889.78 × 6,504,889.78
  4. Step 4: Simplify right side
    4,575,568.50x = 42,313,591,066,210.67
  5. Step 5: Solve for x
    x = 42,313,591,066,210.67/4,575,568.50
  6. Step 6: Final answer
    x = 9,247,723.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.