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Finding the Third Proportional to 5,071,796,588 and 11,043,986,868

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Solution

The third proportional to 5,071,796,588 and 11,043,986,868 is: 24,048,607,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,796,588 : 11,043,986,868 = 11,043,986,868 : x
  2. Step 2: Convert to fraction form
    5,071,796,588/11,043,986,868 = 11,043,986,868/x
  3. Step 3: Cross multiply
    5,071,796,588x = 11,043,986,868 × 11,043,986,868
  4. Step 4: Simplify right side
    5,071,796,588x = 121,969,645,940,556,447,744
  5. Step 5: Solve for x
    x = 121,969,645,940,556,447,744/5,071,796,588
  6. Step 6: Final answer
    x = 24,048,607,593.83

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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.