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Finding the Third Proportional to 75,471,802 and 161,706,932

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Solution

The third proportional to 75,471,802 and 161,706,932 is: 346,475,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,802 : 161,706,932 = 161,706,932 : x
  2. Step 2: Convert to fraction form
    75,471,802/161,706,932 = 161,706,932/x
  3. Step 3: Cross multiply
    75,471,802x = 161,706,932 × 161,706,932
  4. Step 4: Simplify right side
    75,471,802x = 26,149,131,856,852,624
  5. Step 5: Solve for x
    x = 26,149,131,856,852,624/75,471,802
  6. Step 6: Final answer
    x = 346,475,520.18

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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.