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Finding the Third Proportional to 20,268,349.50 and 31,410,367.50

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Solution

The third proportional to 20,268,349.50 and 31,410,367.50 is: 48,677,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268,349.50 : 31,410,367.50 = 31,410,367.50 : x
  2. Step 2: Convert to fraction form
    20,268,349.50/31,410,367.50 = 31,410,367.50/x
  3. Step 3: Cross multiply
    20,268,349.50x = 31,410,367.50 × 31,410,367.50
  4. Step 4: Simplify right side
    20,268,349.50x = 986,611,186,485,056.25
  5. Step 5: Solve for x
    x = 986,611,186,485,056.25/20,268,349.50
  6. Step 6: Final answer
    x = 48,677,431.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.