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Finding the Third Proportional to 9,641,502,161,744 and 20,816,757,797,158

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Solution

The third proportional to 9,641,502,161,744 and 20,816,757,797,158 is: 44,945,009,389,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,502,161,744 : 20,816,757,797,158 = 20,816,757,797,158 : x
  2. Step 2: Convert to fraction form
    9,641,502,161,744/20,816,757,797,158 = 20,816,757,797,158/x
  3. Step 3: Cross multiply
    9,641,502,161,744x = 20,816,757,797,158 × 20,816,757,797,158
  4. Step 4: Simplify right side
    9,641,502,161,744x = 433,337,405,185,538,398,741,331,968
  5. Step 5: Solve for x
    x = 433,337,405,185,538,398,741,331,968/9,641,502,161,744
  6. Step 6: Final answer
    x = 44,945,009,389,196.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.