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Finding the Third Proportional to 226,395,940,032 and 484,595,129,088

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Solution

The third proportional to 226,395,940,032 and 484,595,129,088 is: 1,037,264,356,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395,940,032 : 484,595,129,088 = 484,595,129,088 : x
  2. Step 2: Convert to fraction form
    226,395,940,032/484,595,129,088 = 484,595,129,088/x
  3. Step 3: Cross multiply
    226,395,940,032x = 484,595,129,088 × 484,595,129,088
  4. Step 4: Simplify right side
    226,395,940,032x = 234,832,439,135,815,394,656,256
  5. Step 5: Solve for x
    x = 234,832,439,135,815,394,656,256/226,395,940,032
  6. Step 6: Final answer
    x = 1,037,264,356,872.40

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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.