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Finding the Third Proportional to 10,672,116,606 and 23,181,399,639

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Solution

The third proportional to 10,672,116,606 and 23,181,399,639 is: 50,353,393,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672,116,606 : 23,181,399,639 = 23,181,399,639 : x
  2. Step 2: Convert to fraction form
    10,672,116,606/23,181,399,639 = 23,181,399,639/x
  3. Step 3: Cross multiply
    10,672,116,606x = 23,181,399,639 × 23,181,399,639
  4. Step 4: Simplify right side
    10,672,116,606x = 537,377,289,223,029,325,824
  5. Step 5: Solve for x
    x = 537,377,289,223,029,325,824/10,672,116,606
  6. Step 6: Final answer
    x = 50,353,393,713.94

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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.