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Finding the Third Proportional to 1,644,250,202 and 3,836,716,313

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Solution

The third proportional to 1,644,250,202 and 3,836,716,313 is: 8,952,647,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,250,202 : 3,836,716,313 = 3,836,716,313 : x
  2. Step 2: Convert to fraction form
    1,644,250,202/3,836,716,313 = 3,836,716,313/x
  3. Step 3: Cross multiply
    1,644,250,202x = 3,836,716,313 × 3,836,716,313
  4. Step 4: Simplify right side
    1,644,250,202x = 14,720,392,066,440,314,880
  5. Step 5: Solve for x
    x = 14,720,392,066,440,314,880/1,644,250,202
  6. Step 6: Final answer
    x = 8,952,647,260.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.