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Finding the Third Proportional to 7,775,295 and 16,967,720

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Solution

The third proportional to 7,775,295 and 16,967,720 is: 37,027,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,295 : 16,967,720 = 16,967,720 : x
  2. Step 2: Convert to fraction form
    7,775,295/16,967,720 = 16,967,720/x
  3. Step 3: Cross multiply
    7,775,295x = 16,967,720 × 16,967,720
  4. Step 4: Simplify right side
    7,775,295x = 287,903,521,998,400
  5. Step 5: Solve for x
    x = 287,903,521,998,400/7,775,295
  6. Step 6: Final answer
    x = 37,027,986.98

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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.