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Finding the Third Proportional to 6,143,088,500 and 9,892,395,822

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Solution

The third proportional to 6,143,088,500 and 9,892,395,822 is: 15,930,015,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,088,500 : 9,892,395,822 = 9,892,395,822 : x
  2. Step 2: Convert to fraction form
    6,143,088,500/9,892,395,822 = 9,892,395,822/x
  3. Step 3: Cross multiply
    6,143,088,500x = 9,892,395,822 × 9,892,395,822
  4. Step 4: Simplify right side
    6,143,088,500x = 97,859,495,099,123,056,640
  5. Step 5: Solve for x
    x = 97,859,495,099,123,056,640/6,143,088,500
  6. Step 6: Final answer
    x = 15,930,015,512.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.