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Finding the Third Proportional to 6,300,576 and 13,741,472

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Solution

The third proportional to 6,300,576 and 13,741,472 is: 29,969,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,576 : 13,741,472 = 13,741,472 : x
  2. Step 2: Convert to fraction form
    6,300,576/13,741,472 = 13,741,472/x
  3. Step 3: Cross multiply
    6,300,576x = 13,741,472 × 13,741,472
  4. Step 4: Simplify right side
    6,300,576x = 188,828,052,726,784
  5. Step 5: Solve for x
    x = 188,828,052,726,784/6,300,576
  6. Step 6: Final answer
    x = 29,969,966.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.