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Finding the Third Proportional to 6,182,058 and 13,278,228

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Solution

The third proportional to 6,182,058 and 13,278,228 is: 28,519,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,058 : 13,278,228 = 13,278,228 : x
  2. Step 2: Convert to fraction form
    6,182,058/13,278,228 = 13,278,228/x
  3. Step 3: Cross multiply
    6,182,058x = 13,278,228 × 13,278,228
  4. Step 4: Simplify right side
    6,182,058x = 176,311,338,819,984
  5. Step 5: Solve for x
    x = 176,311,338,819,984/6,182,058
  6. Step 6: Final answer
    x = 28,519,845.47

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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.