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Finding the Third Proportional to 337,074,841.50 and 738,586,833

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Solution

The third proportional to 337,074,841.50 and 738,586,833 is: 1,618,366,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074,841.50 : 738,586,833 = 738,586,833 : x
  2. Step 2: Convert to fraction form
    337,074,841.50/738,586,833 = 738,586,833/x
  3. Step 3: Cross multiply
    337,074,841.50x = 738,586,833 × 738,586,833
  4. Step 4: Simplify right side
    337,074,841.50x = 545,510,509,880,969,920
  5. Step 5: Solve for x
    x = 545,510,509,880,969,920/337,074,841.50
  6. Step 6: Final answer
    x = 1,618,366,139.26

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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.