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Finding the Third Proportional to 8,007,836 and 17,275,382

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Solution

The third proportional to 8,007,836 and 17,275,382 is: 37,268,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007,836 : 17,275,382 = 17,275,382 : x
  2. Step 2: Convert to fraction form
    8,007,836/17,275,382 = 17,275,382/x
  3. Step 3: Cross multiply
    8,007,836x = 17,275,382 × 17,275,382
  4. Step 4: Simplify right side
    8,007,836x = 298,438,823,245,924
  5. Step 5: Solve for x
    x = 298,438,823,245,924/8,007,836
  6. Step 6: Final answer
    x = 37,268,348.56

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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.