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Finding the Third Proportional to 3,110,232.94 and 6,468,690.38

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Solution

The third proportional to 3,110,232.94 and 6,468,690.38 is: 13,453,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,232.94 : 6,468,690.38 = 6,468,690.38 : x
  2. Step 2: Convert to fraction form
    3,110,232.94/6,468,690.38 = 6,468,690.38/x
  3. Step 3: Cross multiply
    3,110,232.94x = 6,468,690.38 × 6,468,690.38
  4. Step 4: Simplify right side
    3,110,232.94x = 41,843,955,167,617.64
  5. Step 5: Solve for x
    x = 41,843,955,167,617.64/3,110,232.94
  6. Step 6: Final answer
    x = 13,453,640.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.