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Finding the Third Proportional to 998,263,392 and 2,154,362,574

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Solution

The third proportional to 998,263,392 and 2,154,362,574 is: 4,649,352,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,263,392 : 2,154,362,574 = 2,154,362,574 : x
  2. Step 2: Convert to fraction form
    998,263,392/2,154,362,574 = 2,154,362,574/x
  3. Step 3: Cross multiply
    998,263,392x = 2,154,362,574 × 2,154,362,574
  4. Step 4: Simplify right side
    998,263,392x = 4,641,278,100,251,905,024
  5. Step 5: Solve for x
    x = 4,641,278,100,251,905,024/998,263,392
  6. Step 6: Final answer
    x = 4,649,352,202.48

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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.