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Finding the Third Proportional to 1,293,218,920.69 and 2,831,265,793.69

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Solution

The third proportional to 1,293,218,920.69 and 2,831,265,793.69 is: 6,198,537,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,218,920.69 : 2,831,265,793.69 = 2,831,265,793.69 : x
  2. Step 2: Convert to fraction form
    1,293,218,920.69/2,831,265,793.69 = 2,831,265,793.69/x
  3. Step 3: Cross multiply
    1,293,218,920.69x = 2,831,265,793.69 × 2,831,265,793.69
  4. Step 4: Simplify right side
    1,293,218,920.69x = 8,016,065,994,504,909,824
  5. Step 5: Solve for x
    x = 8,016,065,994,504,909,824/1,293,218,920.69
  6. Step 6: Final answer
    x = 6,198,537,514.63

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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.