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Finding the Third Proportional to 17,643,787.50 and 38,426,670

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Solution

The third proportional to 17,643,787.50 and 38,426,670 is: 83,690,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643,787.50 : 38,426,670 = 38,426,670 : x
  2. Step 2: Convert to fraction form
    17,643,787.50/38,426,670 = 38,426,670/x
  3. Step 3: Cross multiply
    17,643,787.50x = 38,426,670 × 38,426,670
  4. Step 4: Simplify right side
    17,643,787.50x = 1,476,608,967,288,900
  5. Step 5: Solve for x
    x = 1,476,608,967,288,900/17,643,787.50
  6. Step 6: Final answer
    x = 83,690,022.18

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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.