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Finding the Third Proportional to 5,893,420 and 12,693,680

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Solution

The third proportional to 5,893,420 and 12,693,680 is: 27,340,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893,420 : 12,693,680 = 12,693,680 : x
  2. Step 2: Convert to fraction form
    5,893,420/12,693,680 = 12,693,680/x
  3. Step 3: Cross multiply
    5,893,420x = 12,693,680 × 12,693,680
  4. Step 4: Simplify right side
    5,893,420x = 161,129,511,942,400
  5. Step 5: Solve for x
    x = 161,129,511,942,400/5,893,420
  6. Step 6: Final answer
    x = 27,340,578.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.