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Finding the Third Proportional to 827,789,112 and 1,802,544,620

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Solution

The third proportional to 827,789,112 and 1,802,544,620 is: 3,925,114,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,789,112 : 1,802,544,620 = 1,802,544,620 : x
  2. Step 2: Convert to fraction form
    827,789,112/1,802,544,620 = 1,802,544,620/x
  3. Step 3: Cross multiply
    827,789,112x = 1,802,544,620 × 1,802,544,620
  4. Step 4: Simplify right side
    827,789,112x = 3,249,167,107,090,944,512
  5. Step 5: Solve for x
    x = 3,249,167,107,090,944,512/827,789,112
  6. Step 6: Final answer
    x = 3,925,114,573.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.