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Finding the Third Proportional to 7,775,383.50 and 16,965,751.50

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Solution

The third proportional to 7,775,383.50 and 16,965,751.50 is: 37,018,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,383.50 : 16,965,751.50 = 16,965,751.50 : x
  2. Step 2: Convert to fraction form
    7,775,383.50/16,965,751.50 = 16,965,751.50/x
  3. Step 3: Cross multiply
    7,775,383.50x = 16,965,751.50 × 16,965,751.50
  4. Step 4: Simplify right side
    7,775,383.50x = 287,836,723,959,752.25
  5. Step 5: Solve for x
    x = 287,836,723,959,752.25/7,775,383.50
  6. Step 6: Final answer
    x = 37,018,974.56

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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.