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Finding the Third Proportional to 949,720,251 and 2,062,929,489

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Solution

The third proportional to 949,720,251 and 2,062,929,489 is: 4,480,980,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,720,251 : 2,062,929,489 = 2,062,929,489 : x
  2. Step 2: Convert to fraction form
    949,720,251/2,062,929,489 = 2,062,929,489/x
  3. Step 3: Cross multiply
    949,720,251x = 2,062,929,489 × 2,062,929,489
  4. Step 4: Simplify right side
    949,720,251x = 4,255,678,076,585,801,216
  5. Step 5: Solve for x
    x = 4,255,678,076,585,801,216/949,720,251
  6. Step 6: Final answer
    x = 4,480,980,659.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.