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Finding the Third Proportional to 2,774,991 and 5,626,533

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Solution

The third proportional to 2,774,991 and 5,626,533 is: 11,408,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,991 : 5,626,533 = 5,626,533 : x
  2. Step 2: Convert to fraction form
    2,774,991/5,626,533 = 5,626,533/x
  3. Step 3: Cross multiply
    2,774,991x = 5,626,533 × 5,626,533
  4. Step 4: Simplify right side
    2,774,991x = 31,657,873,600,089
  5. Step 5: Solve for x
    x = 31,657,873,600,089/2,774,991
  6. Step 6: Final answer
    x = 11,408,279.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.