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Finding the Third Proportional to 1,770,978,259.13 and 3,875,570,003.25

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Solution

The third proportional to 1,770,978,259.13 and 3,875,570,003.25 is: 8,481,212,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,978,259.13 : 3,875,570,003.25 = 3,875,570,003.25 : x
  2. Step 2: Convert to fraction form
    1,770,978,259.13/3,875,570,003.25 = 3,875,570,003.25/x
  3. Step 3: Cross multiply
    1,770,978,259.13x = 3,875,570,003.25 × 3,875,570,003.25
  4. Step 4: Simplify right side
    1,770,978,259.13x = 15,020,042,850,091,204,608
  5. Step 5: Solve for x
    x = 15,020,042,850,091,204,608/1,770,978,259.13
  6. Step 6: Final answer
    x = 8,481,212,444.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.