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Finding the Third Proportional to 6,655,016 and 13,624,816

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Solution

The third proportional to 6,655,016 and 13,624,816 is: 27,894,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655,016 : 13,624,816 = 13,624,816 : x
  2. Step 2: Convert to fraction form
    6,655,016/13,624,816 = 13,624,816/x
  3. Step 3: Cross multiply
    6,655,016x = 13,624,816 × 13,624,816
  4. Step 4: Simplify right side
    6,655,016x = 185,635,611,033,856
  5. Step 5: Solve for x
    x = 185,635,611,033,856/6,655,016
  6. Step 6: Final answer
    x = 27,894,089.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.