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Finding the Third Proportional to 6,826,284.81 and 14,665,611.94

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Solution

The third proportional to 6,826,284.81 and 14,665,611.94 is: 31,507,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,284.81 : 14,665,611.94 = 14,665,611.94 : x
  2. Step 2: Convert to fraction form
    6,826,284.81/14,665,611.94 = 14,665,611.94/x
  3. Step 3: Cross multiply
    6,826,284.81x = 14,665,611.94 × 14,665,611.94
  4. Step 4: Simplify right side
    6,826,284.81x = 215,080,173,501,342.50
  5. Step 5: Solve for x
    x = 215,080,173,501,342.50/6,826,284.81
  6. Step 6: Final answer
    x = 31,507,647.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.