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Finding the Third Proportional to 6,229,420 and 13,811,576

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Solution

The third proportional to 6,229,420 and 13,811,576 is: 30,622,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229,420 : 13,811,576 = 13,811,576 : x
  2. Step 2: Convert to fraction form
    6,229,420/13,811,576 = 13,811,576/x
  3. Step 3: Cross multiply
    6,229,420x = 13,811,576 × 13,811,576
  4. Step 4: Simplify right side
    6,229,420x = 190,759,631,603,776
  5. Step 5: Solve for x
    x = 190,759,631,603,776/6,229,420
  6. Step 6: Final answer
    x = 30,622,374.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.