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Finding the Third Proportional to 6,774,828 and 14,532,012

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Solution

The third proportional to 6,774,828 and 14,532,012 is: 31,171,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,828 : 14,532,012 = 14,532,012 : x
  2. Step 2: Convert to fraction form
    6,774,828/14,532,012 = 14,532,012/x
  3. Step 3: Cross multiply
    6,774,828x = 14,532,012 × 14,532,012
  4. Step 4: Simplify right side
    6,774,828x = 211,179,372,768,144
  5. Step 5: Solve for x
    x = 211,179,372,768,144/6,774,828
  6. Step 6: Final answer
    x = 31,171,178.48

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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.