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Finding the Third Proportional to 35,231,976 and 77,392,368

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Solution

The third proportional to 35,231,976 and 77,392,368 is: 170,004,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,231,976 : 77,392,368 = 77,392,368 : x
  2. Step 2: Convert to fraction form
    35,231,976/77,392,368 = 77,392,368/x
  3. Step 3: Cross multiply
    35,231,976x = 77,392,368 × 77,392,368
  4. Step 4: Simplify right side
    35,231,976x = 5,989,578,624,647,424
  5. Step 5: Solve for x
    x = 5,989,578,624,647,424/35,231,976
  6. Step 6: Final answer
    x = 170,004,050.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.