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Finding the Third Proportional to 8,848,669,906 and 18,959,481,737

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Solution

The third proportional to 8,848,669,906 and 18,959,481,737 is: 40,623,274,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,848,669,906 : 18,959,481,737 = 18,959,481,737 : x
  2. Step 2: Convert to fraction form
    8,848,669,906/18,959,481,737 = 18,959,481,737/x
  3. Step 3: Cross multiply
    8,848,669,906x = 18,959,481,737 × 18,959,481,737
  4. Step 4: Simplify right side
    8,848,669,906x = 359,461,947,735,636,508,672
  5. Step 5: Solve for x
    x = 359,461,947,735,636,508,672/8,848,669,906
  6. Step 6: Final answer
    x = 40,623,274,633.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.