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Finding the Third Proportional to 6,228,478 and 13,388,132

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Solution

The third proportional to 6,228,478 and 13,388,132 is: 28,777,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228,478 : 13,388,132 = 13,388,132 : x
  2. Step 2: Convert to fraction form
    6,228,478/13,388,132 = 13,388,132/x
  3. Step 3: Cross multiply
    6,228,478x = 13,388,132 × 13,388,132
  4. Step 4: Simplify right side
    6,228,478x = 179,242,078,449,424
  5. Step 5: Solve for x
    x = 179,242,078,449,424/6,228,478
  6. Step 6: Final answer
    x = 28,777,829.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.