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Finding the Third Proportional to 376,401,546 and 815,335,986

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Solution

The third proportional to 376,401,546 and 815,335,986 is: 1,766,126,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,401,546 : 815,335,986 = 815,335,986 : x
  2. Step 2: Convert to fraction form
    376,401,546/815,335,986 = 815,335,986/x
  3. Step 3: Cross multiply
    376,401,546x = 815,335,986 × 815,335,986
  4. Step 4: Simplify right side
    376,401,546x = 664,772,770,066,592,256
  5. Step 5: Solve for x
    x = 664,772,770,066,592,256/376,401,546
  6. Step 6: Final answer
    x = 1,766,126,566.51

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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.