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Finding the Third Proportional to 594,757,761.75 and 1,288,345,891.50

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Solution

The third proportional to 594,757,761.75 and 1,288,345,891.50 is: 2,790,775,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,757,761.75 : 1,288,345,891.50 = 1,288,345,891.50 : x
  2. Step 2: Convert to fraction form
    594,757,761.75/1,288,345,891.50 = 1,288,345,891.50/x
  3. Step 3: Cross multiply
    594,757,761.75x = 1,288,345,891.50 × 1,288,345,891.50
  4. Step 4: Simplify right side
    594,757,761.75x = 1,659,835,136,144,929,792
  5. Step 5: Solve for x
    x = 1,659,835,136,144,929,792/594,757,761.75
  6. Step 6: Final answer
    x = 2,790,775,073.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.