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Finding the Third Proportional to 1,359,432,967 and 2,099,202,449

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Solution

The third proportional to 1,359,432,967 and 2,099,202,449 is: 3,241,536,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,432,967 : 2,099,202,449 = 2,099,202,449 : x
  2. Step 2: Convert to fraction form
    1,359,432,967/2,099,202,449 = 2,099,202,449/x
  3. Step 3: Cross multiply
    1,359,432,967x = 2,099,202,449 × 2,099,202,449
  4. Step 4: Simplify right side
    1,359,432,967x = 4,406,650,921,887,597,568
  5. Step 5: Solve for x
    x = 4,406,650,921,887,597,568/1,359,432,967
  6. Step 6: Final answer
    x = 3,241,536,014.54

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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.