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Finding the Third Proportional to 7,750,268.75 and 16,685,208

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Solution

The third proportional to 7,750,268.75 and 16,685,208 is: 35,920,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,268.75 : 16,685,208 = 16,685,208 : x
  2. Step 2: Convert to fraction form
    7,750,268.75/16,685,208 = 16,685,208/x
  3. Step 3: Cross multiply
    7,750,268.75x = 16,685,208 × 16,685,208
  4. Step 4: Simplify right side
    7,750,268.75x = 278,396,166,003,264
  5. Step 5: Solve for x
    x = 278,396,166,003,264/7,750,268.75
  6. Step 6: Final answer
    x = 35,920,840.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.