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Finding the Third Proportional to 31,836,933,722 and 68,146,199,500

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Solution

The third proportional to 31,836,933,722 and 68,146,199,500 is: 145,865,319,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836,933,722 : 68,146,199,500 = 68,146,199,500 : x
  2. Step 2: Convert to fraction form
    31,836,933,722/68,146,199,500 = 68,146,199,500/x
  3. Step 3: Cross multiply
    31,836,933,722x = 68,146,199,500 × 68,146,199,500
  4. Step 4: Simplify right side
    31,836,933,722x = 4,643,904,506,293,800,402,944
  5. Step 5: Solve for x
    x = 4,643,904,506,293,800,402,944/31,836,933,722
  6. Step 6: Final answer
    x = 145,865,319,406.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.