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Finding the Third Proportional to 9,697,336.50 and 14,519,295

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Solution

The third proportional to 9,697,336.50 and 14,519,295 is: 21,738,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,336.50 : 14,519,295 = 14,519,295 : x
  2. Step 2: Convert to fraction form
    9,697,336.50/14,519,295 = 14,519,295/x
  3. Step 3: Cross multiply
    9,697,336.50x = 14,519,295 × 14,519,295
  4. Step 4: Simplify right side
    9,697,336.50x = 210,809,927,297,025
  5. Step 5: Solve for x
    x = 210,809,927,297,025/9,697,336.50
  6. Step 6: Final answer
    x = 21,738,951.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.