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Finding the Third Proportional to 154,042,024 and 338,318,672

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Solution

The third proportional to 154,042,024 and 338,318,672 is: 743,040,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,042,024 : 338,318,672 = 338,318,672 : x
  2. Step 2: Convert to fraction form
    154,042,024/338,318,672 = 338,318,672/x
  3. Step 3: Cross multiply
    154,042,024x = 338,318,672 × 338,318,672
  4. Step 4: Simplify right side
    154,042,024x = 114,459,523,823,843,584
  5. Step 5: Solve for x
    x = 114,459,523,823,843,584/154,042,024
  6. Step 6: Final answer
    x = 743,040,897.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.