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Finding the Third Proportional to 332,711,972 and 741,925,096

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Solution

The third proportional to 332,711,972 and 741,925,096 is: 1,654,442,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,711,972 : 741,925,096 = 741,925,096 : x
  2. Step 2: Convert to fraction form
    332,711,972/741,925,096 = 741,925,096/x
  3. Step 3: Cross multiply
    332,711,972x = 741,925,096 × 741,925,096
  4. Step 4: Simplify right side
    332,711,972x = 550,452,848,074,609,216
  5. Step 5: Solve for x
    x = 550,452,848,074,609,216/332,711,972
  6. Step 6: Final answer
    x = 1,654,442,564.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.