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Finding the Third Proportional to 9,473,744,275,708 and 20,763,667,403,268

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Solution

The third proportional to 9,473,744,275,708 and 20,763,667,403,268 is: 45,507,865,896,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473,744,275,708 : 20,763,667,403,268 = 20,763,667,403,268 : x
  2. Step 2: Convert to fraction form
    9,473,744,275,708/20,763,667,403,268 = 20,763,667,403,268/x
  3. Step 3: Cross multiply
    9,473,744,275,708x = 20,763,667,403,268 × 20,763,667,403,268
  4. Step 4: Simplify right side
    9,473,744,275,708x = 431,129,884,033,534,119,976,632,320
  5. Step 5: Solve for x
    x = 431,129,884,033,534,119,976,632,320/9,473,744,275,708
  6. Step 6: Final answer
    x = 45,507,865,896,170.66

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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.