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Finding the Third Proportional to 2,789,786,539 and 6,023,367,486

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Solution

The third proportional to 2,789,786,539 and 6,023,367,486 is: 13,004,921,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789,786,539 : 6,023,367,486 = 6,023,367,486 : x
  2. Step 2: Convert to fraction form
    2,789,786,539/6,023,367,486 = 6,023,367,486/x
  3. Step 3: Cross multiply
    2,789,786,539x = 6,023,367,486 × 6,023,367,486
  4. Step 4: Simplify right side
    2,789,786,539x = 36,280,955,871,401,959,424
  5. Step 5: Solve for x
    x = 36,280,955,871,401,959,424/2,789,786,539
  6. Step 6: Final answer
    x = 13,004,921,833.34

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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.