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Finding the Third Proportional to 10,836,025.50 and 14,858,941.50

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Solution

The third proportional to 10,836,025.50 and 14,858,941.50 is: 20,375,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836,025.50 : 14,858,941.50 = 14,858,941.50 : x
  2. Step 2: Convert to fraction form
    10,836,025.50/14,858,941.50 = 14,858,941.50/x
  3. Step 3: Cross multiply
    10,836,025.50x = 14,858,941.50 × 14,858,941.50
  4. Step 4: Simplify right side
    10,836,025.50x = 220,788,142,500,422.25
  5. Step 5: Solve for x
    x = 220,788,142,500,422.25/10,836,025.50
  6. Step 6: Final answer
    x = 20,375,380.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.