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Finding the Third Proportional to 7,419,984.75 and 16,349,409.56

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Solution

The third proportional to 7,419,984.75 and 16,349,409.56 is: 36,024,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,984.75 : 16,349,409.56 = 16,349,409.56 : x
  2. Step 2: Convert to fraction form
    7,419,984.75/16,349,409.56 = 16,349,409.56/x
  3. Step 3: Cross multiply
    7,419,984.75x = 16,349,409.56 × 16,349,409.56
  4. Step 4: Simplify right side
    7,419,984.75x = 267,303,193,042,366.44
  5. Step 5: Solve for x
    x = 267,303,193,042,366.44/7,419,984.75
  6. Step 6: Final answer
    x = 36,024,763.13

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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.