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Finding the Third Proportional to 31,142,829 and 68,150,654

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Solution

The third proportional to 31,142,829 and 68,150,654 is: 149,135,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142,829 : 68,150,654 = 68,150,654 : x
  2. Step 2: Convert to fraction form
    31,142,829/68,150,654 = 68,150,654/x
  3. Step 3: Cross multiply
    31,142,829x = 68,150,654 × 68,150,654
  4. Step 4: Simplify right side
    31,142,829x = 4,644,511,640,627,716
  5. Step 5: Solve for x
    x = 4,644,511,640,627,716/31,142,829
  6. Step 6: Final answer
    x = 149,135,829.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.