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Finding the Third Proportional to 4,794,002 and 10,270,348

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Solution

The third proportional to 4,794,002 and 10,270,348 is: 22,002,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794,002 : 10,270,348 = 10,270,348 : x
  2. Step 2: Convert to fraction form
    4,794,002/10,270,348 = 10,270,348/x
  3. Step 3: Cross multiply
    4,794,002x = 10,270,348 × 10,270,348
  4. Step 4: Simplify right side
    4,794,002x = 105,480,048,041,104
  5. Step 5: Solve for x
    x = 105,480,048,041,104/4,794,002
  6. Step 6: Final answer
    x = 22,002,503.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.