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Finding the Third Proportional to 883,342,746 and 1,858,067,100

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Solution

The third proportional to 883,342,746 and 1,858,067,100 is: 3,908,350,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,342,746 : 1,858,067,100 = 1,858,067,100 : x
  2. Step 2: Convert to fraction form
    883,342,746/1,858,067,100 = 1,858,067,100/x
  3. Step 3: Cross multiply
    883,342,746x = 1,858,067,100 × 1,858,067,100
  4. Step 4: Simplify right side
    883,342,746x = 3,452,413,348,102,410,240
  5. Step 5: Solve for x
    x = 3,452,413,348,102,410,240/883,342,746
  6. Step 6: Final answer
    x = 3,908,350,822.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.