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Finding the Third Proportional to 383,854,248 and 828,873,240

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Solution

The third proportional to 383,854,248 and 828,873,240 is: 1,789,822,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854,248 : 828,873,240 = 828,873,240 : x
  2. Step 2: Convert to fraction form
    383,854,248/828,873,240 = 828,873,240/x
  3. Step 3: Cross multiply
    383,854,248x = 828,873,240 × 828,873,240
  4. Step 4: Simplify right side
    383,854,248x = 687,030,847,988,097,536
  5. Step 5: Solve for x
    x = 687,030,847,988,097,536/383,854,248
  6. Step 6: Final answer
    x = 1,789,822,182.68

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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.