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Finding the Third Proportional to 6,380,460 and 13,762,728

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Solution

The third proportional to 6,380,460 and 13,762,728 is: 29,686,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,460 : 13,762,728 = 13,762,728 : x
  2. Step 2: Convert to fraction form
    6,380,460/13,762,728 = 13,762,728/x
  3. Step 3: Cross multiply
    6,380,460x = 13,762,728 × 13,762,728
  4. Step 4: Simplify right side
    6,380,460x = 189,412,682,001,984
  5. Step 5: Solve for x
    x = 189,412,682,001,984/6,380,460
  6. Step 6: Final answer
    x = 29,686,367.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.