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Finding the Third Proportional to 2,776,378.50 and 6,190,786.50

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Solution

The third proportional to 2,776,378.50 and 6,190,786.50 is: 13,804,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776,378.50 : 6,190,786.50 = 6,190,786.50 : x
  2. Step 2: Convert to fraction form
    2,776,378.50/6,190,786.50 = 6,190,786.50/x
  3. Step 3: Cross multiply
    2,776,378.50x = 6,190,786.50 × 6,190,786.50
  4. Step 4: Simplify right side
    2,776,378.50x = 38,325,837,488,582.25
  5. Step 5: Solve for x
    x = 38,325,837,488,582.25/2,776,378.50
  6. Step 6: Final answer
    x = 13,804,255.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.