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Finding the Third Proportional to 8,816,051,838 and 19,181,716,620

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Solution

The third proportional to 8,816,051,838 and 19,181,716,620 is: 41,735,037,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816,051,838 : 19,181,716,620 = 19,181,716,620 : x
  2. Step 2: Convert to fraction form
    8,816,051,838/19,181,716,620 = 19,181,716,620/x
  3. Step 3: Cross multiply
    8,816,051,838x = 19,181,716,620 × 19,181,716,620
  4. Step 4: Simplify right side
    8,816,051,838x = 367,938,252,489,984,245,760
  5. Step 5: Solve for x
    x = 367,938,252,489,984,245,760/8,816,051,838
  6. Step 6: Final answer
    x = 41,735,037,321.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.