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Finding the Third Proportional to 73,340,010 and 155,422,512

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Solution

The third proportional to 73,340,010 and 155,422,512 is: 329,372,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,340,010 : 155,422,512 = 155,422,512 : x
  2. Step 2: Convert to fraction form
    73,340,010/155,422,512 = 155,422,512/x
  3. Step 3: Cross multiply
    73,340,010x = 155,422,512 × 155,422,512
  4. Step 4: Simplify right side
    73,340,010x = 24,156,157,236,390,144
  5. Step 5: Solve for x
    x = 24,156,157,236,390,144/73,340,010
  6. Step 6: Final answer
    x = 329,372,156.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.