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Finding the Third Proportional to 6,346,133 and 9,667,997

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Solution

The third proportional to 6,346,133 and 9,667,997 is: 14,728,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346,133 : 9,667,997 = 9,667,997 : x
  2. Step 2: Convert to fraction form
    6,346,133/9,667,997 = 9,667,997/x
  3. Step 3: Cross multiply
    6,346,133x = 9,667,997 × 9,667,997
  4. Step 4: Simplify right side
    6,346,133x = 93,470,165,992,009
  5. Step 5: Solve for x
    x = 93,470,165,992,009/6,346,133
  6. Step 6: Final answer
    x = 14,728,680.60

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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.