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Finding the Third Proportional to 9,641,502,161,742 and 20,816,757,797,153

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Solution

The third proportional to 9,641,502,161,742 and 20,816,757,797,153 is: 44,945,009,389,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,502,161,742 : 20,816,757,797,153 = 20,816,757,797,153 : x
  2. Step 2: Convert to fraction form
    9,641,502,161,742/20,816,757,797,153 = 20,816,757,797,153/x
  3. Step 3: Cross multiply
    9,641,502,161,742x = 20,816,757,797,153 × 20,816,757,797,153
  4. Step 4: Simplify right side
    9,641,502,161,742x = 433,337,405,185,330,247,446,298,624
  5. Step 5: Solve for x
    x = 433,337,405,185,330,247,446,298,624/9,641,502,161,742
  6. Step 6: Final answer
    x = 44,945,009,389,183.81

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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.