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Finding the Third Proportional to 689,148,499.50 and 1,512,198,261

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Solution

The third proportional to 689,148,499.50 and 1,512,198,261 is: 3,318,216,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,148,499.50 : 1,512,198,261 = 1,512,198,261 : x
  2. Step 2: Convert to fraction form
    689,148,499.50/1,512,198,261 = 1,512,198,261/x
  3. Step 3: Cross multiply
    689,148,499.50x = 1,512,198,261 × 1,512,198,261
  4. Step 4: Simplify right side
    689,148,499.50x = 2,286,743,580,571,424,000
  5. Step 5: Solve for x
    x = 2,286,743,580,571,424,000/689,148,499.50
  6. Step 6: Final answer
    x = 3,318,216,004.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.