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Finding the Third Proportional to 4,726,016 and 10,307,271

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Solution

The third proportional to 4,726,016 and 10,307,271 is: 22,479,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726,016 : 10,307,271 = 10,307,271 : x
  2. Step 2: Convert to fraction form
    4,726,016/10,307,271 = 10,307,271/x
  3. Step 3: Cross multiply
    4,726,016x = 10,307,271 × 10,307,271
  4. Step 4: Simplify right side
    4,726,016x = 106,239,835,467,441
  5. Step 5: Solve for x
    x = 106,239,835,467,441/4,726,016
  6. Step 6: Final answer
    x = 22,479,787.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.