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Finding the Third Proportional to 37,282,915,741 and 81,783,995,998

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Solution

The third proportional to 37,282,915,741 and 81,783,995,998 is: 179,401,794,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,282,915,741 : 81,783,995,998 = 81,783,995,998 : x
  2. Step 2: Convert to fraction form
    37,282,915,741/81,783,995,998 = 81,783,995,998/x
  3. Step 3: Cross multiply
    37,282,915,741x = 81,783,995,998 × 81,783,995,998
  4. Step 4: Simplify right side
    37,282,915,741x = 6,688,622,001,400,880,037,888
  5. Step 5: Solve for x
    x = 6,688,622,001,400,880,037,888/37,282,915,741
  6. Step 6: Final answer
    x = 179,401,794,856.01

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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.