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Finding the Third Proportional to 6,337,096 and 13,684,288

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Solution

The third proportional to 6,337,096 and 13,684,288 is: 29,549,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,096 : 13,684,288 = 13,684,288 : x
  2. Step 2: Convert to fraction form
    6,337,096/13,684,288 = 13,684,288/x
  3. Step 3: Cross multiply
    6,337,096x = 13,684,288 × 13,684,288
  4. Step 4: Simplify right side
    6,337,096x = 187,259,738,066,944
  5. Step 5: Solve for x
    x = 187,259,738,066,944/6,337,096
  6. Step 6: Final answer
    x = 29,549,771.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.