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Finding the Third Proportional to 827,816,488 and 1,802,599,380

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Solution

The third proportional to 827,816,488 and 1,802,599,380 is: 3,925,223,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,816,488 : 1,802,599,380 = 1,802,599,380 : x
  2. Step 2: Convert to fraction form
    827,816,488/1,802,599,380 = 1,802,599,380/x
  3. Step 3: Cross multiply
    827,816,488x = 1,802,599,380 × 1,802,599,380
  4. Step 4: Simplify right side
    827,816,488x = 3,249,364,524,776,384,512
  5. Step 5: Solve for x
    x = 3,249,364,524,776,384,512/827,816,488
  6. Step 6: Final answer
    x = 3,925,223,249.21

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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.