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Finding the Third Proportional to 3,089,940.75 and 6,711,854.63

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Solution

The third proportional to 3,089,940.75 and 6,711,854.63 is: 14,579,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089,940.75 : 6,711,854.63 = 6,711,854.63 : x
  2. Step 2: Convert to fraction form
    3,089,940.75/6,711,854.63 = 6,711,854.63/x
  3. Step 3: Cross multiply
    3,089,940.75x = 6,711,854.63 × 6,711,854.63
  4. Step 4: Simplify right side
    3,089,940.75x = 45,048,992,507,133.89
  5. Step 5: Solve for x
    x = 45,048,992,507,133.89/3,089,940.75
  6. Step 6: Final answer
    x = 14,579,241.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.