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Finding the Third Proportional to 4,735,920 and 10,270,176

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Solution

The third proportional to 4,735,920 and 10,270,176 is: 22,271,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,920 : 10,270,176 = 10,270,176 : x
  2. Step 2: Convert to fraction form
    4,735,920/10,270,176 = 10,270,176/x
  3. Step 3: Cross multiply
    4,735,920x = 10,270,176 × 10,270,176
  4. Step 4: Simplify right side
    4,735,920x = 105,476,515,070,976
  5. Step 5: Solve for x
    x = 105,476,515,070,976/4,735,920
  6. Step 6: Final answer
    x = 22,271,599.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.