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Finding the Third Proportional to 6,833,674 and 9,612,420

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Solution

The third proportional to 6,833,674 and 9,612,420 is: 13,521,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,674 : 9,612,420 = 9,612,420 : x
  2. Step 2: Convert to fraction form
    6,833,674/9,612,420 = 9,612,420/x
  3. Step 3: Cross multiply
    6,833,674x = 9,612,420 × 9,612,420
  4. Step 4: Simplify right side
    6,833,674x = 92,398,618,256,400
  5. Step 5: Solve for x
    x = 92,398,618,256,400/6,833,674
  6. Step 6: Final answer
    x = 13,521,074.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.