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Finding the Third Proportional to 6,043,728.94 and 12,441,749.34

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Solution

The third proportional to 6,043,728.94 and 12,441,749.34 is: 25,612,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043,728.94 : 12,441,749.34 = 12,441,749.34 : x
  2. Step 2: Convert to fraction form
    6,043,728.94/12,441,749.34 = 12,441,749.34/x
  3. Step 3: Cross multiply
    6,043,728.94x = 12,441,749.34 × 12,441,749.34
  4. Step 4: Simplify right side
    6,043,728.94x = 154,797,126,732,703.56
  5. Step 5: Solve for x
    x = 154,797,126,732,703.56/6,043,728.94
  6. Step 6: Final answer
    x = 25,612,850.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.