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Finding the Third Proportional to 3,428,304.75 and 7,140,361.36

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Solution

The third proportional to 3,428,304.75 and 7,140,361.36 is: 14,871,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,304.75 : 7,140,361.36 = 7,140,361.36 : x
  2. Step 2: Convert to fraction form
    3,428,304.75/7,140,361.36 = 7,140,361.36/x
  3. Step 3: Cross multiply
    3,428,304.75x = 7,140,361.36 × 7,140,361.36
  4. Step 4: Simplify right side
    3,428,304.75x = 50,984,760,342,455.60
  5. Step 5: Solve for x
    x = 50,984,760,342,455.60/3,428,304.75
  6. Step 6: Final answer
    x = 14,871,711.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.