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Finding the Third Proportional to 2,188,962,600 and 4,815,713,424

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Solution

The third proportional to 2,188,962,600 and 4,815,713,424 is: 10,594,560,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188,962,600 : 4,815,713,424 = 4,815,713,424 : x
  2. Step 2: Convert to fraction form
    2,188,962,600/4,815,713,424 = 4,815,713,424/x
  3. Step 3: Cross multiply
    2,188,962,600x = 4,815,713,424 × 4,815,713,424
  4. Step 4: Simplify right side
    2,188,962,600x = 23,191,095,782,093,803,520
  5. Step 5: Solve for x
    x = 23,191,095,782,093,803,520/2,188,962,600
  6. Step 6: Final answer
    x = 10,594,560,081.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.