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Finding the Third Proportional to 27,214,384,361 and 37,839,426,132

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Solution

The third proportional to 27,214,384,361 and 37,839,426,132 is: 52,612,697,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214,384,361 : 37,839,426,132 = 37,839,426,132 : x
  2. Step 2: Convert to fraction form
    27,214,384,361/37,839,426,132 = 37,839,426,132/x
  3. Step 3: Cross multiply
    27,214,384,361x = 37,839,426,132 × 37,839,426,132
  4. Step 4: Simplify right side
    27,214,384,361x = 1,431,822,169,999,084,355,584
  5. Step 5: Solve for x
    x = 1,431,822,169,999,084,355,584/27,214,384,361
  6. Step 6: Final answer
    x = 52,612,697,425.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.