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Finding the Third Proportional to 66,489,890,864 and 146,277,598,048

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Solution

The third proportional to 66,489,890,864 and 146,277,598,048 is: 321,810,359,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,489,890,864 : 146,277,598,048 = 146,277,598,048 : x
  2. Step 2: Convert to fraction form
    66,489,890,864/146,277,598,048 = 146,277,598,048/x
  3. Step 3: Cross multiply
    66,489,890,864x = 146,277,598,048 × 146,277,598,048
  4. Step 4: Simplify right side
    66,489,890,864x = 21,397,135,690,692,252,663,808
  5. Step 5: Solve for x
    x = 21,397,135,690,692,252,663,808/66,489,890,864
  6. Step 6: Final answer
    x = 321,810,359,629.83

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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.