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Finding the Third Proportional to 6,823,137 and 14,842,020

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Solution

The third proportional to 6,823,137 and 14,842,020 is: 32,285,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,137 : 14,842,020 = 14,842,020 : x
  2. Step 2: Convert to fraction form
    6,823,137/14,842,020 = 14,842,020/x
  3. Step 3: Cross multiply
    6,823,137x = 14,842,020 × 14,842,020
  4. Step 4: Simplify right side
    6,823,137x = 220,285,557,680,400
  5. Step 5: Solve for x
    x = 220,285,557,680,400/6,823,137
  6. Step 6: Final answer
    x = 32,285,084.95

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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.