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Finding the Third Proportional to 998,263,560 and 2,154,362,928

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Solution

The third proportional to 998,263,560 and 2,154,362,928 is: 4,649,352,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,263,560 : 2,154,362,928 = 2,154,362,928 : x
  2. Step 2: Convert to fraction form
    998,263,560/2,154,362,928 = 2,154,362,928/x
  3. Step 3: Cross multiply
    998,263,560x = 2,154,362,928 × 2,154,362,928
  4. Step 4: Simplify right side
    998,263,560x = 4,641,279,625,540,732,928
  5. Step 5: Solve for x
    x = 4,641,279,625,540,732,928/998,263,560
  6. Step 6: Final answer
    x = 4,649,352,947.97

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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.