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Finding the Third Proportional to 133,021,456,474 and 275,471,939,184

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Solution

The third proportional to 133,021,456,474 and 275,471,939,184 is: 570,470,293,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021,456,474 : 275,471,939,184 = 275,471,939,184 : x
  2. Step 2: Convert to fraction form
    133,021,456,474/275,471,939,184 = 275,471,939,184/x
  3. Step 3: Cross multiply
    133,021,456,474x = 275,471,939,184 × 275,471,939,184
  4. Step 4: Simplify right side
    133,021,456,474x = 75,884,789,277,793,401,700,352
  5. Step 5: Solve for x
    x = 75,884,789,277,793,401,700,352/133,021,456,474
  6. Step 6: Final answer
    x = 570,470,293,208.87

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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.