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Finding the Third Proportional to 3,421,181.81 and 7,407,019.69

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Solution

The third proportional to 3,421,181.81 and 7,407,019.69 is: 16,036,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,181.81 : 7,407,019.69 = 7,407,019.69 : x
  2. Step 2: Convert to fraction form
    3,421,181.81/7,407,019.69 = 7,407,019.69/x
  3. Step 3: Cross multiply
    3,421,181.81x = 7,407,019.69 × 7,407,019.69
  4. Step 4: Simplify right side
    3,421,181.81x = 54,863,940,651,012.59
  5. Step 5: Solve for x
    x = 54,863,940,651,012.59/3,421,181.81
  6. Step 6: Final answer
    x = 16,036,546.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.