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Finding the Third Proportional to 3,776,008.50 and 8,266,163.50

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Solution

The third proportional to 3,776,008.50 and 8,266,163.50 is: 18,095,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776,008.50 : 8,266,163.50 = 8,266,163.50 : x
  2. Step 2: Convert to fraction form
    3,776,008.50/8,266,163.50 = 8,266,163.50/x
  3. Step 3: Cross multiply
    3,776,008.50x = 8,266,163.50 × 8,266,163.50
  4. Step 4: Simplify right side
    3,776,008.50x = 68,329,459,008,732.25
  5. Step 5: Solve for x
    x = 68,329,459,008,732.25/3,776,008.50
  6. Step 6: Final answer
    x = 18,095,684.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.