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Finding the Third Proportional to 6,833,670 and 9,612,414

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Solution

The third proportional to 6,833,670 and 9,612,414 is: 13,521,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,670 : 9,612,414 = 9,612,414 : x
  2. Step 2: Convert to fraction form
    6,833,670/9,612,414 = 9,612,414/x
  3. Step 3: Cross multiply
    6,833,670x = 9,612,414 × 9,612,414
  4. Step 4: Simplify right side
    6,833,670x = 92,398,502,907,396
  5. Step 5: Solve for x
    x = 92,398,502,907,396/6,833,670
  6. Step 6: Final answer
    x = 13,521,065.97

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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.