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Finding the Third Proportional to 71,523,822 and 154,481,824

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Solution

The third proportional to 71,523,822 and 154,481,824 is: 333,659,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,523,822 : 154,481,824 = 154,481,824 : x
  2. Step 2: Convert to fraction form
    71,523,822/154,481,824 = 154,481,824/x
  3. Step 3: Cross multiply
    71,523,822x = 154,481,824 × 154,481,824
  4. Step 4: Simplify right side
    71,523,822x = 23,864,633,946,366,976
  5. Step 5: Solve for x
    x = 23,864,633,946,366,976/71,523,822
  6. Step 6: Final answer
    x = 333,659,937.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.