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Finding the Third Proportional to 1,288,356,708,901 and 2,802,910,400,903

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Solution

The third proportional to 1,288,356,708,901 and 2,802,910,400,903 is: 6,097,928,206,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,356,708,901 : 2,802,910,400,903 = 2,802,910,400,903 : x
  2. Step 2: Convert to fraction form
    1,288,356,708,901/2,802,910,400,903 = 2,802,910,400,903/x
  3. Step 3: Cross multiply
    1,288,356,708,901x = 2,802,910,400,903 × 2,802,910,400,903
  4. Step 4: Simplify right side
    1,288,356,708,901x = 7,856,306,715,490,216,394,620,928
  5. Step 5: Solve for x
    x = 7,856,306,715,490,216,394,620,928/1,288,356,708,901
  6. Step 6: Final answer
    x = 6,097,928,206,693.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.