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Finding the Third Proportional to 37,282,915,728 and 81,783,995,970.38

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Solution

The third proportional to 37,282,915,728 and 81,783,995,970.38 is: 179,401,794,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282,915,728 : 81,783,995,970.38 = 81,783,995,970.38 : x
  2. Step 2: Convert to fraction form
    37,282,915,728/81,783,995,970.38 = 81,783,995,970.38/x
  3. Step 3: Cross multiply
    37,282,915,728x = 81,783,995,970.38 × 81,783,995,970.38
  4. Step 4: Simplify right side
    37,282,915,728x = 6,688,621,996,882,314,395,648
  5. Step 5: Solve for x
    x = 6,688,621,996,882,314,395,648/37,282,915,728
  6. Step 6: Final answer
    x = 179,401,794,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.