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Finding the Third Proportional to 1,533,286,338 and 3,335,220,252

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Solution

The third proportional to 1,533,286,338 and 3,335,220,252 is: 7,254,805,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,286,338 : 3,335,220,252 = 3,335,220,252 : x
  2. Step 2: Convert to fraction form
    1,533,286,338/3,335,220,252 = 3,335,220,252/x
  3. Step 3: Cross multiply
    1,533,286,338x = 3,335,220,252 × 3,335,220,252
  4. Step 4: Simplify right side
    1,533,286,338x = 11,123,694,129,350,942,720
  5. Step 5: Solve for x
    x = 11,123,694,129,350,942,720/1,533,286,338
  6. Step 6: Final answer
    x = 7,254,805,481.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.