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Finding the Third Proportional to 6,286,040 and 13,489,648

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Solution

The third proportional to 6,286,040 and 13,489,648 is: 28,948,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,040 : 13,489,648 = 13,489,648 : x
  2. Step 2: Convert to fraction form
    6,286,040/13,489,648 = 13,489,648/x
  3. Step 3: Cross multiply
    6,286,040x = 13,489,648 × 13,489,648
  4. Step 4: Simplify right side
    6,286,040x = 181,970,603,163,904
  5. Step 5: Solve for x
    x = 181,970,603,163,904/6,286,040
  6. Step 6: Final answer
    x = 28,948,368.63

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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.