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Finding the Third Proportional to 4,723,627,311 and 10,148,253,669

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Solution

The third proportional to 4,723,627,311 and 10,148,253,669 is: 21,802,535,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,627,311 : 10,148,253,669 = 10,148,253,669 : x
  2. Step 2: Convert to fraction form
    4,723,627,311/10,148,253,669 = 10,148,253,669/x
  3. Step 3: Cross multiply
    4,723,627,311x = 10,148,253,669 × 10,148,253,669
  4. Step 4: Simplify right side
    4,723,627,311x = 102,987,052,530,371,969,024
  5. Step 5: Solve for x
    x = 102,987,052,530,371,969,024/4,723,627,311
  6. Step 6: Final answer
    x = 21,802,535,583.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.