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Finding the Third Proportional to 1,102,315,055 and 1,632,809,098

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Solution

The third proportional to 1,102,315,055 and 1,632,809,098 is: 2,418,605,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,315,055 : 1,632,809,098 = 1,632,809,098 : x
  2. Step 2: Convert to fraction form
    1,102,315,055/1,632,809,098 = 1,632,809,098/x
  3. Step 3: Cross multiply
    1,102,315,055x = 1,632,809,098 × 1,632,809,098
  4. Step 4: Simplify right side
    1,102,315,055x = 2,666,065,550,511,573,504
  5. Step 5: Solve for x
    x = 2,666,065,550,511,573,504/1,102,315,055
  6. Step 6: Final answer
    x = 2,418,605,768.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.