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Finding the Third Proportional to 9,641,502,161,745 and 20,816,757,797,159

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Solution

The third proportional to 9,641,502,161,745 and 20,816,757,797,159 is: 44,945,009,389,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,502,161,745 : 20,816,757,797,159 = 20,816,757,797,159 : x
  2. Step 2: Convert to fraction form
    9,641,502,161,745/20,816,757,797,159 = 20,816,757,797,159/x
  3. Step 3: Cross multiply
    9,641,502,161,745x = 20,816,757,797,159 × 20,816,757,797,159
  4. Step 4: Simplify right side
    9,641,502,161,745x = 433,337,405,185,580,042,744,233,984
  5. Step 5: Solve for x
    x = 433,337,405,185,580,042,744,233,984/9,641,502,161,745
  6. Step 6: Final answer
    x = 44,945,009,389,195.74

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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.