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Finding the Third Proportional to 4,821,278 and 10,296,422

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Solution

The third proportional to 4,821,278 and 10,296,422 is: 21,989,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821,278 : 10,296,422 = 10,296,422 : x
  2. Step 2: Convert to fraction form
    4,821,278/10,296,422 = 10,296,422/x
  3. Step 3: Cross multiply
    4,821,278x = 10,296,422 × 10,296,422
  4. Step 4: Simplify right side
    4,821,278x = 106,016,306,002,084
  5. Step 5: Solve for x
    x = 106,016,306,002,084/4,821,278
  6. Step 6: Final answer
    x = 21,989,253.89

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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.