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Finding the Third Proportional to 1,246,120,368 and 2,659,027,512

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Solution

The third proportional to 1,246,120,368 and 2,659,027,512 is: 5,673,952,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,120,368 : 2,659,027,512 = 2,659,027,512 : x
  2. Step 2: Convert to fraction form
    1,246,120,368/2,659,027,512 = 2,659,027,512/x
  3. Step 3: Cross multiply
    1,246,120,368x = 2,659,027,512 × 2,659,027,512
  4. Step 4: Simplify right side
    1,246,120,368x = 7,070,427,309,572,910,080
  5. Step 5: Solve for x
    x = 7,070,427,309,572,910,080/1,246,120,368
  6. Step 6: Final answer
    x = 5,673,952,124.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.