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Finding the Third Proportional to 353,879,048 and 775,782,544

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Solution

The third proportional to 353,879,048 and 775,782,544 is: 1,700,689,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,879,048 : 775,782,544 = 775,782,544 : x
  2. Step 2: Convert to fraction form
    353,879,048/775,782,544 = 775,782,544/x
  3. Step 3: Cross multiply
    353,879,048x = 775,782,544 × 775,782,544
  4. Step 4: Simplify right side
    353,879,048x = 601,838,555,575,111,936
  5. Step 5: Solve for x
    x = 601,838,555,575,111,936/353,879,048
  6. Step 6: Final answer
    x = 1,700,689,992.74

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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.