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Finding the Third Proportional to 7,500,709.75 and 16,364,268

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Solution

The third proportional to 7,500,709.75 and 16,364,268 is: 35,701,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500,709.75 : 16,364,268 = 16,364,268 : x
  2. Step 2: Convert to fraction form
    7,500,709.75/16,364,268 = 16,364,268/x
  3. Step 3: Cross multiply
    7,500,709.75x = 16,364,268 × 16,364,268
  4. Step 4: Simplify right side
    7,500,709.75x = 267,789,267,175,824
  5. Step 5: Solve for x
    x = 267,789,267,175,824/7,500,709.75
  6. Step 6: Final answer
    x = 35,701,857.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.