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Finding the Third Proportional to 4,172,242,696 and 8,841,914,172

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Solution

The third proportional to 4,172,242,696 and 8,841,914,172 is: 18,737,991,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172,242,696 : 8,841,914,172 = 8,841,914,172 : x
  2. Step 2: Convert to fraction form
    4,172,242,696/8,841,914,172 = 8,841,914,172/x
  3. Step 3: Cross multiply
    4,172,242,696x = 8,841,914,172 × 8,841,914,172
  4. Step 4: Simplify right side
    4,172,242,696x = 78,179,446,225,014,439,936
  5. Step 5: Solve for x
    x = 78,179,446,225,014,439,936/4,172,242,696
  6. Step 6: Final answer
    x = 18,737,991,032.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.