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Finding the Third Proportional to 6,094,773 and 12,693,993.75

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Solution

The third proportional to 6,094,773 and 12,693,993.75 is: 26,438,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094,773 : 12,693,993.75 = 12,693,993.75 : x
  2. Step 2: Convert to fraction form
    6,094,773/12,693,993.75 = 12,693,993.75/x
  3. Step 3: Cross multiply
    6,094,773x = 12,693,993.75 × 12,693,993.75
  4. Step 4: Simplify right side
    6,094,773x = 161,137,477,325,039.06
  5. Step 5: Solve for x
    x = 161,137,477,325,039.06/6,094,773
  6. Step 6: Final answer
    x = 26,438,634.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.