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Finding the Third Proportional to 9,852,976 and 21,162,394

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Solution

The third proportional to 9,852,976 and 21,162,394 is: 45,452,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852,976 : 21,162,394 = 21,162,394 : x
  2. Step 2: Convert to fraction form
    9,852,976/21,162,394 = 21,162,394/x
  3. Step 3: Cross multiply
    9,852,976x = 21,162,394 × 21,162,394
  4. Step 4: Simplify right side
    9,852,976x = 447,846,919,811,236
  5. Step 5: Solve for x
    x = 447,846,919,811,236/9,852,976
  6. Step 6: Final answer
    x = 45,452,959.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.