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Finding the Third Proportional to 8,007,840 and 17,275,390

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Solution

The third proportional to 8,007,840 and 17,275,390 is: 37,268,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007,840 : 17,275,390 = 17,275,390 : x
  2. Step 2: Convert to fraction form
    8,007,840/17,275,390 = 17,275,390/x
  3. Step 3: Cross multiply
    8,007,840x = 17,275,390 × 17,275,390
  4. Step 4: Simplify right side
    8,007,840x = 298,439,099,652,100
  5. Step 5: Solve for x
    x = 298,439,099,652,100/8,007,840
  6. Step 6: Final answer
    x = 37,268,364.46

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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.