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Finding the Third Proportional to 8,007,827.50 and 17,275,367

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Solution

The third proportional to 8,007,827.50 and 17,275,367 is: 37,268,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007,827.50 : 17,275,367 = 17,275,367 : x
  2. Step 2: Convert to fraction form
    8,007,827.50/17,275,367 = 17,275,367/x
  3. Step 3: Cross multiply
    8,007,827.50x = 17,275,367 × 17,275,367
  4. Step 4: Simplify right side
    8,007,827.50x = 298,438,304,984,689
  5. Step 5: Solve for x
    x = 298,438,304,984,689/8,007,827.50
  6. Step 6: Final answer
    x = 37,268,323.40

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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.