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Finding the Third Proportional to 66,510,728,235.50 and 137,735,969,590

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Solution

The third proportional to 66,510,728,235.50 and 137,735,969,590 is: 285,235,146,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,510,728,235.50 : 137,735,969,590 = 137,735,969,590 : x
  2. Step 2: Convert to fraction form
    66,510,728,235.50/137,735,969,590 = 137,735,969,590/x
  3. Step 3: Cross multiply
    66,510,728,235.50x = 137,735,969,590 × 137,735,969,590
  4. Step 4: Simplify right side
    66,510,728,235.50x = 18,971,197,318,897,403,428,864
  5. Step 5: Solve for x
    x = 18,971,197,318,897,403,428,864/66,510,728,235.50
  6. Step 6: Final answer
    x = 285,235,146,602.58

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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.