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Finding the Third Proportional to 6,316,296 and 13,892,019

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Solution

The third proportional to 6,316,296 and 13,892,019 is: 30,554,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316,296 : 13,892,019 = 13,892,019 : x
  2. Step 2: Convert to fraction form
    6,316,296/13,892,019 = 13,892,019/x
  3. Step 3: Cross multiply
    6,316,296x = 13,892,019 × 13,892,019
  4. Step 4: Simplify right side
    6,316,296x = 192,988,191,896,361
  5. Step 5: Solve for x
    x = 192,988,191,896,361/6,316,296
  6. Step 6: Final answer
    x = 30,554,013.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.