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Finding the Third Proportional to 66,510,728,238 and 137,735,969,594

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Solution

The third proportional to 66,510,728,238 and 137,735,969,594 is: 285,235,146,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,510,728,238 : 137,735,969,594 = 137,735,969,594 : x
  2. Step 2: Convert to fraction form
    66,510,728,238/137,735,969,594 = 137,735,969,594/x
  3. Step 3: Cross multiply
    66,510,728,238x = 137,735,969,594 × 137,735,969,594
  4. Step 4: Simplify right side
    66,510,728,238x = 18,971,197,319,999,293,227,008
  5. Step 5: Solve for x
    x = 18,971,197,319,999,293,227,008/66,510,728,238
  6. Step 6: Final answer
    x = 285,235,146,608.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.