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Finding the Third Proportional to 376,401,525 and 815,335,941

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Solution

The third proportional to 376,401,525 and 815,335,941 is: 1,766,126,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,401,525 : 815,335,941 = 815,335,941 : x
  2. Step 2: Convert to fraction form
    376,401,525/815,335,941 = 815,335,941/x
  3. Step 3: Cross multiply
    376,401,525x = 815,335,941 × 815,335,941
  4. Step 4: Simplify right side
    376,401,525x = 664,772,696,686,355,456
  5. Step 5: Solve for x
    x = 664,772,696,686,355,456/376,401,525
  6. Step 6: Final answer
    x = 1,766,126,470.09

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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.