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Finding the Third Proportional to 3,084,834.38 and 6,684,501.38

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Solution

The third proportional to 3,084,834.38 and 6,684,501.38 is: 14,484,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,834.38 : 6,684,501.38 = 6,684,501.38 : x
  2. Step 2: Convert to fraction form
    3,084,834.38/6,684,501.38 = 6,684,501.38/x
  3. Step 3: Cross multiply
    3,084,834.38x = 6,684,501.38 × 6,684,501.38
  4. Step 4: Simplify right side
    3,084,834.38x = 44,682,558,632,376.89
  5. Step 5: Solve for x
    x = 44,682,558,632,376.89/3,084,834.38
  6. Step 6: Final answer
    x = 14,484,589.19

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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.