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Finding the Third Proportional to 2,814,011 and 5,727,388

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Solution

The third proportional to 2,814,011 and 5,727,388 is: 11,657,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,011 : 5,727,388 = 5,727,388 : x
  2. Step 2: Convert to fraction form
    2,814,011/5,727,388 = 5,727,388/x
  3. Step 3: Cross multiply
    2,814,011x = 5,727,388 × 5,727,388
  4. Step 4: Simplify right side
    2,814,011x = 32,802,973,302,544
  5. Step 5: Solve for x
    x = 32,802,973,302,544/2,814,011
  6. Step 6: Final answer
    x = 11,657,016.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.