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Finding the Third Proportional to 9,162,993.50 and 13,464,009

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Solution

The third proportional to 9,162,993.50 and 13,464,009 is: 19,783,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,993.50 : 13,464,009 = 13,464,009 : x
  2. Step 2: Convert to fraction form
    9,162,993.50/13,464,009 = 13,464,009/x
  3. Step 3: Cross multiply
    9,162,993.50x = 13,464,009 × 13,464,009
  4. Step 4: Simplify right side
    9,162,993.50x = 181,279,538,352,081
  5. Step 5: Solve for x
    x = 181,279,538,352,081/9,162,993.50
  6. Step 6: Final answer
    x = 19,783,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.