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Finding the Third Proportional to 133,021,456,474 and 275,471,939,188

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Solution

The third proportional to 133,021,456,474 and 275,471,939,188 is: 570,470,293,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021,456,474 : 275,471,939,188 = 275,471,939,188 : x
  2. Step 2: Convert to fraction form
    133,021,456,474/275,471,939,188 = 275,471,939,188/x
  3. Step 3: Cross multiply
    133,021,456,474x = 275,471,939,188 × 275,471,939,188
  4. Step 4: Simplify right side
    133,021,456,474x = 75,884,789,279,997,172,908,032
  5. Step 5: Solve for x
    x = 75,884,789,279,997,172,908,032/133,021,456,474
  6. Step 6: Final answer
    x = 570,470,293,225.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.