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Finding the Third Proportional to 1,055,108,486 and 2,246,679,212

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Solution

The third proportional to 1,055,108,486 and 2,246,679,212 is: 4,783,932,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,108,486 : 2,246,679,212 = 2,246,679,212 : x
  2. Step 2: Convert to fraction form
    1,055,108,486/2,246,679,212 = 2,246,679,212/x
  3. Step 3: Cross multiply
    1,055,108,486x = 2,246,679,212 × 2,246,679,212
  4. Step 4: Simplify right side
    1,055,108,486x = 5,047,567,481,632,941,056
  5. Step 5: Solve for x
    x = 5,047,567,481,632,941,056/1,055,108,486
  6. Step 6: Final answer
    x = 4,783,932,219.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.