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Finding the Third Proportional to 3,436,025.06 and 6,785,319.38

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Solution

The third proportional to 3,436,025.06 and 6,785,319.38 is: 13,399,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,025.06 : 6,785,319.38 = 6,785,319.38 : x
  2. Step 2: Convert to fraction form
    3,436,025.06/6,785,319.38 = 6,785,319.38/x
  3. Step 3: Cross multiply
    3,436,025.06x = 6,785,319.38 × 6,785,319.38
  4. Step 4: Simplify right side
    3,436,025.06x = 46,040,559,020,750.39
  5. Step 5: Solve for x
    x = 46,040,559,020,750.39/3,436,025.06
  6. Step 6: Final answer
    x = 13,399,366.47

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.