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Finding the Third Proportional to 63,771,089,010 and 137,006,012,892

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Solution

The third proportional to 63,771,089,010 and 137,006,012,892 is: 294,344,159,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,771,089,010 : 137,006,012,892 = 137,006,012,892 : x
  2. Step 2: Convert to fraction form
    63,771,089,010/137,006,012,892 = 137,006,012,892/x
  3. Step 3: Cross multiply
    63,771,089,010x = 137,006,012,892 × 137,006,012,892
  4. Step 4: Simplify right side
    63,771,089,010x = 18,770,647,568,562,870,288,384
  5. Step 5: Solve for x
    x = 18,770,647,568,562,870,288,384/63,771,089,010
  6. Step 6: Final answer
    x = 294,344,159,084.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.