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Finding the Third Proportional to 20,221,819,989 and 43,963,355,837

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Solution

The third proportional to 20,221,819,989 and 43,963,355,837 is: 95,578,768,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221,819,989 : 43,963,355,837 = 43,963,355,837 : x
  2. Step 2: Convert to fraction form
    20,221,819,989/43,963,355,837 = 43,963,355,837/x
  3. Step 3: Cross multiply
    20,221,819,989x = 43,963,355,837 × 43,963,355,837
  4. Step 4: Simplify right side
    20,221,819,989x = 1,932,776,656,450,682,093,568
  5. Step 5: Solve for x
    x = 1,932,776,656,450,682,093,568/20,221,819,989
  6. Step 6: Final answer
    x = 95,578,768,750.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.