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Finding the Third Proportional to 835,272,192 and 1,739,147,289

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Solution

The third proportional to 835,272,192 and 1,739,147,289 is: 3,621,134,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,272,192 : 1,739,147,289 = 1,739,147,289 : x
  2. Step 2: Convert to fraction form
    835,272,192/1,739,147,289 = 1,739,147,289/x
  3. Step 3: Cross multiply
    835,272,192x = 1,739,147,289 × 1,739,147,289
  4. Step 4: Simplify right side
    835,272,192x = 3,024,633,292,836,049,408
  5. Step 5: Solve for x
    x = 3,024,633,292,836,049,408/835,272,192
  6. Step 6: Final answer
    x = 3,621,134,908.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.