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Finding the Third Proportional to 384,250,270.50 and 826,858,444.50

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Solution

The third proportional to 384,250,270.50 and 826,858,444.50 is: 1,779,295,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,250,270.50 : 826,858,444.50 = 826,858,444.50 : x
  2. Step 2: Convert to fraction form
    384,250,270.50/826,858,444.50 = 826,858,444.50/x
  3. Step 3: Cross multiply
    384,250,270.50x = 826,858,444.50 × 826,858,444.50
  4. Step 4: Simplify right side
    384,250,270.50x = 683,694,887,240,959,616
  5. Step 5: Solve for x
    x = 683,694,887,240,959,616/384,250,270.50
  6. Step 6: Final answer
    x = 1,779,295,786.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.