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Finding the Third Proportional to 6,345,828 and 9,667,457

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Solution

The third proportional to 6,345,828 and 9,667,457 is: 14,727,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345,828 : 9,667,457 = 9,667,457 : x
  2. Step 2: Convert to fraction form
    6,345,828/9,667,457 = 9,667,457/x
  3. Step 3: Cross multiply
    6,345,828x = 9,667,457 × 9,667,457
  4. Step 4: Simplify right side
    6,345,828x = 93,459,724,846,849
  5. Step 5: Solve for x
    x = 93,459,724,846,849/6,345,828
  6. Step 6: Final answer
    x = 14,727,743.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.