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Finding the Third Proportional to 832,820,568 and 1,809,008,220

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Solution

The third proportional to 832,820,568 and 1,809,008,220 is: 3,929,430,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,820,568 : 1,809,008,220 = 1,809,008,220 : x
  2. Step 2: Convert to fraction form
    832,820,568/1,809,008,220 = 1,809,008,220/x
  3. Step 3: Cross multiply
    832,820,568x = 1,809,008,220 × 1,809,008,220
  4. Step 4: Simplify right side
    832,820,568x = 3,272,510,740,027,568,640
  5. Step 5: Solve for x
    x = 3,272,510,740,027,568,640/832,820,568
  6. Step 6: Final answer
    x = 3,929,430,739.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.