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Finding the Third Proportional to 6,381,494 and 13,660,002

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Solution

The third proportional to 6,381,494 and 13,660,002 is: 29,240,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,494 : 13,660,002 = 13,660,002 : x
  2. Step 2: Convert to fraction form
    6,381,494/13,660,002 = 13,660,002/x
  3. Step 3: Cross multiply
    6,381,494x = 13,660,002 × 13,660,002
  4. Step 4: Simplify right side
    6,381,494x = 186,595,654,640,004
  5. Step 5: Solve for x
    x = 186,595,654,640,004/6,381,494
  6. Step 6: Final answer
    x = 29,240,120.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.