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Finding the Third Proportional to 5,952,420 and 12,893,832

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Solution

The third proportional to 5,952,420 and 12,893,832 is: 27,929,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952,420 : 12,893,832 = 12,893,832 : x
  2. Step 2: Convert to fraction form
    5,952,420/12,893,832 = 12,893,832/x
  3. Step 3: Cross multiply
    5,952,420x = 12,893,832 × 12,893,832
  4. Step 4: Simplify right side
    5,952,420x = 166,250,903,644,224
  5. Step 5: Solve for x
    x = 166,250,903,644,224/5,952,420
  6. Step 6: Final answer
    x = 27,929,968.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.