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Finding the Third Proportional to 2,839,032 and 6,157,229

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Solution

The third proportional to 2,839,032 and 6,157,229 is: 13,353,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,032 : 6,157,229 = 6,157,229 : x
  2. Step 2: Convert to fraction form
    2,839,032/6,157,229 = 6,157,229/x
  3. Step 3: Cross multiply
    2,839,032x = 6,157,229 × 6,157,229
  4. Step 4: Simplify right side
    2,839,032x = 37,911,468,958,441
  5. Step 5: Solve for x
    x = 37,911,468,958,441/2,839,032
  6. Step 6: Final answer
    x = 13,353,660.32

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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.