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Finding the Third Proportional to 14,123,294,222 and 30,493,297,630

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Solution

The third proportional to 14,123,294,222 and 30,493,297,630 is: 65,837,416,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123,294,222 : 30,493,297,630 = 30,493,297,630 : x
  2. Step 2: Convert to fraction form
    14,123,294,222/30,493,297,630 = 30,493,297,630/x
  3. Step 3: Cross multiply
    14,123,294,222x = 30,493,297,630 × 30,493,297,630
  4. Step 4: Simplify right side
    14,123,294,222x = 929,841,200,351,763,628,032
  5. Step 5: Solve for x
    x = 929,841,200,351,763,628,032/14,123,294,222
  6. Step 6: Final answer
    x = 65,837,416,238.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.