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Finding the Third Proportional to 5,769,075 and 12,310,309.50

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Solution

The third proportional to 5,769,075 and 12,310,309.50 is: 26,268,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769,075 : 12,310,309.50 = 12,310,309.50 : x
  2. Step 2: Convert to fraction form
    5,769,075/12,310,309.50 = 12,310,309.50/x
  3. Step 3: Cross multiply
    5,769,075x = 12,310,309.50 × 12,310,309.50
  4. Step 4: Simplify right side
    5,769,075x = 151,543,719,985,790.25
  5. Step 5: Solve for x
    x = 151,543,719,985,790.25/5,769,075
  6. Step 6: Final answer
    x = 26,268,287.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.