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Finding the Third Proportional to 1,998,935,816,452 and 3,045,240,446,694

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Solution

The third proportional to 1,998,935,816,452 and 3,045,240,446,694 is: 4,639,213,176,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998,935,816,452 : 3,045,240,446,694 = 3,045,240,446,694 : x
  2. Step 2: Convert to fraction form
    1,998,935,816,452/3,045,240,446,694 = 3,045,240,446,694/x
  3. Step 3: Cross multiply
    1,998,935,816,452x = 3,045,240,446,694 × 3,045,240,446,694
  4. Step 4: Simplify right side
    1,998,935,816,452x = 9,273,489,378,181,073,191,567,360
  5. Step 5: Solve for x
    x = 9,273,489,378,181,073,191,567,360/1,998,935,816,452
  6. Step 6: Final answer
    x = 4,639,213,176,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.