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Finding the Third Proportional to 6,324,798 and 13,909,086

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Solution

The third proportional to 6,324,798 and 13,909,086 is: 30,587,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324,798 : 13,909,086 = 13,909,086 : x
  2. Step 2: Convert to fraction form
    6,324,798/13,909,086 = 13,909,086/x
  3. Step 3: Cross multiply
    6,324,798x = 13,909,086 × 13,909,086
  4. Step 4: Simplify right side
    6,324,798x = 193,462,673,355,396
  5. Step 5: Solve for x
    x = 193,462,673,355,396/6,324,798
  6. Step 6: Final answer
    x = 30,587,960.81

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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.