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Finding the Third Proportional to 8,816,051,839 and 19,181,716,622

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Solution

The third proportional to 8,816,051,839 and 19,181,716,622 is: 41,735,037,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816,051,839 : 19,181,716,622 = 19,181,716,622 : x
  2. Step 2: Convert to fraction form
    8,816,051,839/19,181,716,622 = 19,181,716,622/x
  3. Step 3: Cross multiply
    8,816,051,839x = 19,181,716,622 × 19,181,716,622
  4. Step 4: Simplify right side
    8,816,051,839x = 367,938,252,566,711,107,584
  5. Step 5: Solve for x
    x = 367,938,252,566,711,107,584/8,816,051,839
  6. Step 6: Final answer
    x = 41,735,037,325.78

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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.