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Finding the Third Proportional to 9,036,310.50 and 13,766,269.50

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Solution

The third proportional to 9,036,310.50 and 13,766,269.50 is: 20,972,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036,310.50 : 13,766,269.50 = 13,766,269.50 : x
  2. Step 2: Convert to fraction form
    9,036,310.50/13,766,269.50 = 13,766,269.50/x
  3. Step 3: Cross multiply
    9,036,310.50x = 13,766,269.50 × 13,766,269.50
  4. Step 4: Simplify right side
    9,036,310.50x = 189,510,175,946,630.25
  5. Step 5: Solve for x
    x = 189,510,175,946,630.25/9,036,310.50
  6. Step 6: Final answer
    x = 20,972,074.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.