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Finding the Third Proportional to 75,471,760 and 161,706,836

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Solution

The third proportional to 75,471,760 and 161,706,836 is: 346,475,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,760 : 161,706,836 = 161,706,836 : x
  2. Step 2: Convert to fraction form
    75,471,760/161,706,836 = 161,706,836/x
  3. Step 3: Cross multiply
    75,471,760x = 161,706,836 × 161,706,836
  4. Step 4: Simplify right side
    75,471,760x = 26,149,100,809,130,896
  5. Step 5: Solve for x
    x = 26,149,100,809,130,896/75,471,760
  6. Step 6: Final answer
    x = 346,475,301.61

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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.