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Finding the Third Proportional to 133,021,456,469 and 275,471,939,176

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Solution

The third proportional to 133,021,456,469 and 275,471,939,176 is: 570,470,293,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021,456,469 : 275,471,939,176 = 275,471,939,176 : x
  2. Step 2: Convert to fraction form
    133,021,456,469/275,471,939,176 = 275,471,939,176/x
  3. Step 3: Cross multiply
    133,021,456,469x = 275,471,939,176 × 275,471,939,176
  4. Step 4: Simplify right side
    133,021,456,469x = 75,884,789,273,385,842,507,776
  5. Step 5: Solve for x
    x = 75,884,789,273,385,842,507,776/133,021,456,469
  6. Step 6: Final answer
    x = 570,470,293,197.18

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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.