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Finding the Third Proportional to 6,243,104 and 13,679,216

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Solution

The third proportional to 6,243,104 and 13,679,216 is: 29,972,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243,104 : 13,679,216 = 13,679,216 : x
  2. Step 2: Convert to fraction form
    6,243,104/13,679,216 = 13,679,216/x
  3. Step 3: Cross multiply
    6,243,104x = 13,679,216 × 13,679,216
  4. Step 4: Simplify right side
    6,243,104x = 187,120,950,374,656
  5. Step 5: Solve for x
    x = 187,120,950,374,656/6,243,104
  6. Step 6: Final answer
    x = 29,972,422.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.