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Finding the Third Proportional to 6,282,378 and 13,798,944

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Solution

The third proportional to 6,282,378 and 13,798,944 is: 30,308,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282,378 : 13,798,944 = 13,798,944 : x
  2. Step 2: Convert to fraction form
    6,282,378/13,798,944 = 13,798,944/x
  3. Step 3: Cross multiply
    6,282,378x = 13,798,944 × 13,798,944
  4. Step 4: Simplify right side
    6,282,378x = 190,410,855,515,136
  5. Step 5: Solve for x
    x = 190,410,855,515,136/6,282,378
  6. Step 6: Final answer
    x = 30,308,723.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.