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Finding the Third Proportional to 7,997,012 and 17,268,295

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Solution

The third proportional to 7,997,012 and 17,268,295 is: 37,288,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,012 : 17,268,295 = 17,268,295 : x
  2. Step 2: Convert to fraction form
    7,997,012/17,268,295 = 17,268,295/x
  3. Step 3: Cross multiply
    7,997,012x = 17,268,295 × 17,268,295
  4. Step 4: Simplify right side
    7,997,012x = 298,194,012,207,025
  5. Step 5: Solve for x
    x = 298,194,012,207,025/7,997,012
  6. Step 6: Final answer
    x = 37,288,178.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.