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Finding the Third Proportional to 659,290,084 and 1,372,836,996

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Solution

The third proportional to 659,290,084 and 1,372,836,996 is: 2,858,652,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,290,084 : 1,372,836,996 = 1,372,836,996 : x
  2. Step 2: Convert to fraction form
    659,290,084/1,372,836,996 = 1,372,836,996/x
  3. Step 3: Cross multiply
    659,290,084x = 1,372,836,996 × 1,372,836,996
  4. Step 4: Simplify right side
    659,290,084x = 1,884,681,417,586,304,000
  5. Step 5: Solve for x
    x = 1,884,681,417,586,304,000/659,290,084
  6. Step 6: Final answer
    x = 2,858,652,758.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.