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Finding the Third Proportional to 6,434,082 and 14,143,338

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Solution

The third proportional to 6,434,082 and 14,143,338 is: 31,089,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434,082 : 14,143,338 = 14,143,338 : x
  2. Step 2: Convert to fraction form
    6,434,082/14,143,338 = 14,143,338/x
  3. Step 3: Cross multiply
    6,434,082x = 14,143,338 × 14,143,338
  4. Step 4: Simplify right side
    6,434,082x = 200,034,009,782,244
  5. Step 5: Solve for x
    x = 200,034,009,782,244/6,434,082
  6. Step 6: Final answer
    x = 31,089,751.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.