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Finding the Third Proportional to 6,724,863 and 13,928,247

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Solution

The third proportional to 6,724,863 and 13,928,247 is: 28,847,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,863 : 13,928,247 = 13,928,247 : x
  2. Step 2: Convert to fraction form
    6,724,863/13,928,247 = 13,928,247/x
  3. Step 3: Cross multiply
    6,724,863x = 13,928,247 × 13,928,247
  4. Step 4: Simplify right side
    6,724,863x = 193,996,064,493,009
  5. Step 5: Solve for x
    x = 193,996,064,493,009/6,724,863
  6. Step 6: Final answer
    x = 28,847,586.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.