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Finding the Third Proportional to 6,823,134 and 14,842,012

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Solution

The third proportional to 6,823,134 and 14,842,012 is: 32,285,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,134 : 14,842,012 = 14,842,012 : x
  2. Step 2: Convert to fraction form
    6,823,134/14,842,012 = 14,842,012/x
  3. Step 3: Cross multiply
    6,823,134x = 14,842,012 × 14,842,012
  4. Step 4: Simplify right side
    6,823,134x = 220,285,320,208,144
  5. Step 5: Solve for x
    x = 220,285,320,208,144/6,823,134
  6. Step 6: Final answer
    x = 32,285,064.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.