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Finding the Third Proportional to 8,770,404,012.75 and 14,397,584,851.13

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Solution

The third proportional to 8,770,404,012.75 and 14,397,584,851.13 is: 23,635,222,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770,404,012.75 : 14,397,584,851.13 = 14,397,584,851.13 : x
  2. Step 2: Convert to fraction form
    8,770,404,012.75/14,397,584,851.13 = 14,397,584,851.13/x
  3. Step 3: Cross multiply
    8,770,404,012.75x = 14,397,584,851.13 × 14,397,584,851.13
  4. Step 4: Simplify right side
    8,770,404,012.75x = 207,290,449,545,344,090,112
  5. Step 5: Solve for x
    x = 207,290,449,545,344,090,112/8,770,404,012.75
  6. Step 6: Final answer
    x = 23,635,222,418.94

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.