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Finding the Third Proportional to 383,854,493.25 and 828,874,525.50

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Solution

The third proportional to 383,854,493.25 and 828,874,525.50 is: 1,789,826,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854,493.25 : 828,874,525.50 = 828,874,525.50 : x
  2. Step 2: Convert to fraction form
    383,854,493.25/828,874,525.50 = 828,874,525.50/x
  3. Step 3: Cross multiply
    383,854,493.25x = 828,874,525.50 × 828,874,525.50
  4. Step 4: Simplify right side
    383,854,493.25x = 687,032,979,022,850,176
  5. Step 5: Solve for x
    x = 687,032,979,022,850,176/383,854,493.25
  6. Step 6: Final answer
    x = 1,789,826,590.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.