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Finding the Third Proportional to 27,317,463,513 and 60,916,097,097

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Solution

The third proportional to 27,317,463,513 and 60,916,097,097 is: 135,838,778,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317,463,513 : 60,916,097,097 = 60,916,097,097 : x
  2. Step 2: Convert to fraction form
    27,317,463,513/60,916,097,097 = 60,916,097,097/x
  3. Step 3: Cross multiply
    27,317,463,513x = 60,916,097,097 × 60,916,097,097
  4. Step 4: Simplify right side
    27,317,463,513x = 3,710,770,885,531,131,707,392
  5. Step 5: Solve for x
    x = 3,710,770,885,531,131,707,392/27,317,463,513
  6. Step 6: Final answer
    x = 135,838,778,873.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.