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Finding the Third Proportional to 1,109,949,109,032 and 1,766,147,230,692

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Solution

The third proportional to 1,109,949,109,032 and 1,766,147,230,692 is: 2,810,287,440,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,949,109,032 : 1,766,147,230,692 = 1,766,147,230,692 : x
  2. Step 2: Convert to fraction form
    1,109,949,109,032/1,766,147,230,692 = 1,766,147,230,692/x
  3. Step 3: Cross multiply
    1,109,949,109,032x = 1,766,147,230,692 × 1,766,147,230,692
  4. Step 4: Simplify right side
    1,109,949,109,032x = 3,119,276,040,481,020,932,259,840
  5. Step 5: Solve for x
    x = 3,119,276,040,481,020,932,259,840/1,109,949,109,032
  6. Step 6: Final answer
    x = 2,810,287,440,296.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.