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Finding the Third Proportional to 337,074,847.50 and 738,586,845

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Solution

The third proportional to 337,074,847.50 and 738,586,845 is: 1,618,366,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074,847.50 : 738,586,845 = 738,586,845 : x
  2. Step 2: Convert to fraction form
    337,074,847.50/738,586,845 = 738,586,845/x
  3. Step 3: Cross multiply
    337,074,847.50x = 738,586,845 × 738,586,845
  4. Step 4: Simplify right side
    337,074,847.50x = 545,510,527,607,054,016
  5. Step 5: Solve for x
    x = 545,510,527,607,054,016/337,074,847.50
  6. Step 6: Final answer
    x = 1,618,366,163.04

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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.