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Finding the Third Proportional to 279,401,800 and 587,763,855

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Solution

The third proportional to 279,401,800 and 587,763,855 is: 1,236,449,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,401,800 : 587,763,855 = 587,763,855 : x
  2. Step 2: Convert to fraction form
    279,401,800/587,763,855 = 587,763,855/x
  3. Step 3: Cross multiply
    279,401,800x = 587,763,855 × 587,763,855
  4. Step 4: Simplify right side
    279,401,800x = 345,466,349,244,461,056
  5. Step 5: Solve for x
    x = 345,466,349,244,461,056/279,401,800
  6. Step 6: Final answer
    x = 1,236,449,977.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.