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Finding the Third Proportional to 367,244,343 and 775,936,701

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Solution

The third proportional to 367,244,343 and 775,936,701 is: 1,639,447,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,244,343 : 775,936,701 = 775,936,701 : x
  2. Step 2: Convert to fraction form
    367,244,343/775,936,701 = 775,936,701/x
  3. Step 3: Cross multiply
    367,244,343x = 775,936,701 × 775,936,701
  4. Step 4: Simplify right side
    367,244,343x = 602,077,763,958,763,392
  5. Step 5: Solve for x
    x = 602,077,763,958,763,392/367,244,343
  6. Step 6: Final answer
    x = 1,639,447,347.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.