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Finding the Third Proportional to 6,237,978 and 13,650,017

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Solution

The third proportional to 6,237,978 and 13,650,017 is: 29,869,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,978 : 13,650,017 = 13,650,017 : x
  2. Step 2: Convert to fraction form
    6,237,978/13,650,017 = 13,650,017/x
  3. Step 3: Cross multiply
    6,237,978x = 13,650,017 × 13,650,017
  4. Step 4: Simplify right side
    6,237,978x = 186,322,964,100,289
  5. Step 5: Solve for x
    x = 186,322,964,100,289/6,237,978
  6. Step 6: Final answer
    x = 29,869,128.12

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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.