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Finding the Third Proportional to 37,282,915,834 and 81,783,996,168

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Solution

The third proportional to 37,282,915,834 and 81,783,996,168 is: 179,401,795,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282,915,834 : 81,783,996,168 = 81,783,996,168 : x
  2. Step 2: Convert to fraction form
    37,282,915,834/81,783,996,168 = 81,783,996,168/x
  3. Step 3: Cross multiply
    37,282,915,834x = 81,783,996,168 × 81,783,996,168
  4. Step 4: Simplify right side
    37,282,915,834x = 6,688,622,029,207,438,884,864
  5. Step 5: Solve for x
    x = 6,688,622,029,207,438,884,864/37,282,915,834
  6. Step 6: Final answer
    x = 179,401,795,154.33

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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.