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Finding the Third Proportional to 999,659,793,576 and 1,522,878,408,444

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Solution

The third proportional to 999,659,793,576 and 1,522,878,408,444 is: 2,319,947,908,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,659,793,576 : 1,522,878,408,444 = 1,522,878,408,444 : x
  2. Step 2: Convert to fraction form
    999,659,793,576/1,522,878,408,444 = 1,522,878,408,444/x
  3. Step 3: Cross multiply
    999,659,793,576x = 1,522,878,408,444 × 1,522,878,408,444
  4. Step 4: Simplify right side
    999,659,793,576x = 2,319,158,646,904,930,416,197,632
  5. Step 5: Solve for x
    x = 2,319,158,646,904,930,416,197,632/999,659,793,576
  6. Step 6: Final answer
    x = 2,319,947,908,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.