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Finding the Third Proportional to 669,102,669 and 1,449,389,502

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Solution

The third proportional to 669,102,669 and 1,449,389,502 is: 3,139,622,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,102,669 : 1,449,389,502 = 1,449,389,502 : x
  2. Step 2: Convert to fraction form
    669,102,669/1,449,389,502 = 1,449,389,502/x
  3. Step 3: Cross multiply
    669,102,669x = 1,449,389,502 × 1,449,389,502
  4. Step 4: Simplify right side
    669,102,669x = 2,100,729,928,507,808,000
  5. Step 5: Solve for x
    x = 2,100,729,928,507,808,000/669,102,669
  6. Step 6: Final answer
    x = 3,139,622,700.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.