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Finding the Third Proportional to 16,108,228,973 and 32,675,764,126

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Solution

The third proportional to 16,108,228,973 and 32,675,764,126 is: 66,283,237,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108,228,973 : 32,675,764,126 = 32,675,764,126 : x
  2. Step 2: Convert to fraction form
    16,108,228,973/32,675,764,126 = 32,675,764,126/x
  3. Step 3: Cross multiply
    16,108,228,973x = 32,675,764,126 × 32,675,764,126
  4. Step 4: Simplify right side
    16,108,228,973x = 1,067,705,561,217,988,558,848
  5. Step 5: Solve for x
    x = 1,067,705,561,217,988,558,848/16,108,228,973
  6. Step 6: Final answer
    x = 66,283,237,158.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.