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Finding the Third Proportional to 998,263,390 and 2,154,362,570

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Solution

The third proportional to 998,263,390 and 2,154,362,570 is: 4,649,352,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,263,390 : 2,154,362,570 = 2,154,362,570 : x
  2. Step 2: Convert to fraction form
    998,263,390/2,154,362,570 = 2,154,362,570/x
  3. Step 3: Cross multiply
    998,263,390x = 2,154,362,570 × 2,154,362,570
  4. Step 4: Simplify right side
    998,263,390x = 4,641,278,083,017,005,056
  5. Step 5: Solve for x
    x = 4,641,278,083,017,005,056/998,263,390
  6. Step 6: Final answer
    x = 4,649,352,194.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.