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Finding the Third Proportional to 901,204,509,783 and 1,909,853,635,182

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Solution

The third proportional to 901,204,509,783 and 1,909,853,635,182 is: 4,047,406,408,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,204,509,783 : 1,909,853,635,182 = 1,909,853,635,182 : x
  2. Step 2: Convert to fraction form
    901,204,509,783/1,909,853,635,182 = 1,909,853,635,182/x
  3. Step 3: Cross multiply
    901,204,509,783x = 1,909,853,635,182 × 1,909,853,635,182
  4. Step 4: Simplify right side
    901,204,509,783x = 3,647,540,907,817,900,091,375,616
  5. Step 5: Solve for x
    x = 3,647,540,907,817,900,091,375,616/901,204,509,783
  6. Step 6: Final answer
    x = 4,047,406,408,004.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.