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Finding the Third Proportional to 5,071,068 and 11,275,976

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Solution

The third proportional to 5,071,068 and 11,275,976 is: 25,073,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,068 : 11,275,976 = 11,275,976 : x
  2. Step 2: Convert to fraction form
    5,071,068/11,275,976 = 11,275,976/x
  3. Step 3: Cross multiply
    5,071,068x = 11,275,976 × 11,275,976
  4. Step 4: Simplify right side
    5,071,068x = 127,147,634,752,576
  5. Step 5: Solve for x
    x = 127,147,634,752,576/5,071,068
  6. Step 6: Final answer
    x = 25,073,147.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.