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Finding the Third Proportional to 6,850,431.50 and 14,734,219.75

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Solution

The third proportional to 6,850,431.50 and 14,734,219.75 is: 31,691,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,431.50 : 14,734,219.75 = 14,734,219.75 : x
  2. Step 2: Convert to fraction form
    6,850,431.50/14,734,219.75 = 14,734,219.75/x
  3. Step 3: Cross multiply
    6,850,431.50x = 14,734,219.75 × 14,734,219.75
  4. Step 4: Simplify right side
    6,850,431.50x = 217,097,231,641,290.06
  5. Step 5: Solve for x
    x = 217,097,231,641,290.06/6,850,431.50
  6. Step 6: Final answer
    x = 31,691,030.21

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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.