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Finding the Third Proportional to 6,825,274 and 10,310,496

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Solution

The third proportional to 6,825,274 and 10,310,496 is: 15,575,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,274 : 10,310,496 = 10,310,496 : x
  2. Step 2: Convert to fraction form
    6,825,274/10,310,496 = 10,310,496/x
  3. Step 3: Cross multiply
    6,825,274x = 10,310,496 × 10,310,496
  4. Step 4: Simplify right side
    6,825,274x = 106,306,327,766,016
  5. Step 5: Solve for x
    x = 106,306,327,766,016/6,825,274
  6. Step 6: Final answer
    x = 15,575,393.42

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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.