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Finding the Third Proportional to 3,181,326 and 6,731,148

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Solution

The third proportional to 3,181,326 and 6,731,148 is: 14,241,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181,326 : 6,731,148 = 6,731,148 : x
  2. Step 2: Convert to fraction form
    3,181,326/6,731,148 = 6,731,148/x
  3. Step 3: Cross multiply
    3,181,326x = 6,731,148 × 6,731,148
  4. Step 4: Simplify right side
    3,181,326x = 45,308,353,397,904
  5. Step 5: Solve for x
    x = 45,308,353,397,904/3,181,326
  6. Step 6: Final answer
    x = 14,241,971.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.