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Finding the Third Proportional to 6,782,646 and 14,743,356

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Solution

The third proportional to 6,782,646 and 14,743,356 is: 32,047,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,646 : 14,743,356 = 14,743,356 : x
  2. Step 2: Convert to fraction form
    6,782,646/14,743,356 = 14,743,356/x
  3. Step 3: Cross multiply
    6,782,646x = 14,743,356 × 14,743,356
  4. Step 4: Simplify right side
    6,782,646x = 217,366,546,142,736
  5. Step 5: Solve for x
    x = 217,366,546,142,736/6,782,646
  6. Step 6: Final answer
    x = 32,047,455.54

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