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Finding the Third Proportional to 998,263,562 and 2,154,362,932

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Solution

The third proportional to 998,263,562 and 2,154,362,932 is: 4,649,352,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,263,562 : 2,154,362,932 = 2,154,362,932 : x
  2. Step 2: Convert to fraction form
    998,263,562/2,154,362,932 = 2,154,362,932/x
  3. Step 3: Cross multiply
    998,263,562x = 2,154,362,932 × 2,154,362,932
  4. Step 4: Simplify right side
    998,263,562x = 4,641,279,642,775,636,992
  5. Step 5: Solve for x
    x = 4,641,279,642,775,636,992/998,263,562
  6. Step 6: Final answer
    x = 4,649,352,955.92

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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.