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Finding the Third Proportional to 3,996,963 and 5,769,096.75

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Solution

The third proportional to 3,996,963 and 5,769,096.75 is: 8,326,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996,963 : 5,769,096.75 = 5,769,096.75 : x
  2. Step 2: Convert to fraction form
    3,996,963/5,769,096.75 = 5,769,096.75/x
  3. Step 3: Cross multiply
    3,996,963x = 5,769,096.75 × 5,769,096.75
  4. Step 4: Simplify right side
    3,996,963x = 33,282,477,310,860.56
  5. Step 5: Solve for x
    x = 33,282,477,310,860.56/3,996,963
  6. Step 6: Final answer
    x = 8,326,941.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.