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Finding the Third Proportional to 536,940,873 and 828,394,321.50

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Solution

The third proportional to 536,940,873 and 828,394,321.50 is: 1,278,049,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,940,873 : 828,394,321.50 = 828,394,321.50 : x
  2. Step 2: Convert to fraction form
    536,940,873/828,394,321.50 = 828,394,321.50/x
  3. Step 3: Cross multiply
    536,940,873x = 828,394,321.50 × 828,394,321.50
  4. Step 4: Simplify right side
    536,940,873x = 686,237,151,893,445,376
  5. Step 5: Solve for x
    x = 686,237,151,893,445,376/536,940,873
  6. Step 6: Final answer
    x = 1,278,049,756.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.