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Finding the Third Proportional to 6,289,656 and 13,757,024

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Solution

The third proportional to 6,289,656 and 13,757,024 is: 30,089,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,656 : 13,757,024 = 13,757,024 : x
  2. Step 2: Convert to fraction form
    6,289,656/13,757,024 = 13,757,024/x
  3. Step 3: Cross multiply
    6,289,656x = 13,757,024 × 13,757,024
  4. Step 4: Simplify right side
    6,289,656x = 189,255,709,336,576
  5. Step 5: Solve for x
    x = 189,255,709,336,576/6,289,656
  6. Step 6: Final answer
    x = 30,089,993.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.