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Finding the Third Proportional to 511,275,944 and 1,118,211,568

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Solution

The third proportional to 511,275,944 and 1,118,211,568 is: 2,445,640,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,275,944 : 1,118,211,568 = 1,118,211,568 : x
  2. Step 2: Convert to fraction form
    511,275,944/1,118,211,568 = 1,118,211,568/x
  3. Step 3: Cross multiply
    511,275,944x = 1,118,211,568 × 1,118,211,568
  4. Step 4: Simplify right side
    511,275,944x = 1,250,397,110,809,018,624
  5. Step 5: Solve for x
    x = 1,250,397,110,809,018,624/511,275,944
  6. Step 6: Final answer
    x = 2,445,640,412.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.