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Finding the Third Proportional to 829,563,954 and 1,777,453,722

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Solution

The third proportional to 829,563,954 and 1,777,453,722 is: 3,808,436,611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,563,954 : 1,777,453,722 = 1,777,453,722 : x
  2. Step 2: Convert to fraction form
    829,563,954/1,777,453,722 = 1,777,453,722/x
  3. Step 3: Cross multiply
    829,563,954x = 1,777,453,722 × 1,777,453,722
  4. Step 4: Simplify right side
    829,563,954x = 3,159,341,733,851,653,120
  5. Step 5: Solve for x
    x = 3,159,341,733,851,653,120/829,563,954
  6. Step 6: Final answer
    x = 3,808,436,611.33

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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.