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Finding the Third Proportional to 6,289,649 and 13,757,011

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Solution

The third proportional to 6,289,649 and 13,757,011 is: 30,089,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,649 : 13,757,011 = 13,757,011 : x
  2. Step 2: Convert to fraction form
    6,289,649/13,757,011 = 13,757,011/x
  3. Step 3: Cross multiply
    6,289,649x = 13,757,011 × 13,757,011
  4. Step 4: Simplify right side
    6,289,649x = 189,255,351,654,121
  5. Step 5: Solve for x
    x = 189,255,351,654,121/6,289,649
  6. Step 6: Final answer
    x = 30,089,970.31

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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.