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Finding the Third Proportional to 5,370,069 and 8,133,098

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Solution

The third proportional to 5,370,069 and 8,133,098 is: 12,317,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370,069 : 8,133,098 = 8,133,098 : x
  2. Step 2: Convert to fraction form
    5,370,069/8,133,098 = 8,133,098/x
  3. Step 3: Cross multiply
    5,370,069x = 8,133,098 × 8,133,098
  4. Step 4: Simplify right side
    5,370,069x = 66,147,283,077,604
  5. Step 5: Solve for x
    x = 66,147,283,077,604/5,370,069
  6. Step 6: Final answer
    x = 12,317,771.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.