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Finding the Third Proportional to 3,089,436.19 and 6,728,104.69

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Solution

The third proportional to 3,089,436.19 and 6,728,104.69 is: 14,652,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,436.19 : 6,728,104.69 = 6,728,104.69 : x
  2. Step 2: Convert to fraction form
    3,089,436.19/6,728,104.69 = 6,728,104.69/x
  3. Step 3: Cross multiply
    3,089,436.19x = 6,728,104.69 × 6,728,104.69
  4. Step 4: Simplify right side
    3,089,436.19x = 45,267,392,685,959.47
  5. Step 5: Solve for x
    x = 45,267,392,685,959.47/3,089,436.19
  6. Step 6: Final answer
    x = 14,652,315.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.