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Finding the Third Proportional to 6,349,912 and 13,933,018

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Solution

The third proportional to 6,349,912 and 13,933,018 is: 30,571,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349,912 : 13,933,018 = 13,933,018 : x
  2. Step 2: Convert to fraction form
    6,349,912/13,933,018 = 13,933,018/x
  3. Step 3: Cross multiply
    6,349,912x = 13,933,018 × 13,933,018
  4. Step 4: Simplify right side
    6,349,912x = 194,128,990,588,324
  5. Step 5: Solve for x
    x = 194,128,990,588,324/6,349,912
  6. Step 6: Final answer
    x = 30,571,918.25

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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.