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Finding the Third Proportional to 5,089,104 and 11,075,838

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Solution

The third proportional to 5,089,104 and 11,075,838 is: 24,105,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089,104 : 11,075,838 = 11,075,838 : x
  2. Step 2: Convert to fraction form
    5,089,104/11,075,838 = 11,075,838/x
  3. Step 3: Cross multiply
    5,089,104x = 11,075,838 × 11,075,838
  4. Step 4: Simplify right side
    5,089,104x = 122,674,187,402,244
  5. Step 5: Solve for x
    x = 122,674,187,402,244/5,089,104
  6. Step 6: Final answer
    x = 24,105,262.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.