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Finding the Third Proportional to 376,182,984 and 815,142,456

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Solution

The third proportional to 376,182,984 and 815,142,456 is: 1,766,313,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,182,984 : 815,142,456 = 815,142,456 : x
  2. Step 2: Convert to fraction form
    376,182,984/815,142,456 = 815,142,456/x
  3. Step 3: Cross multiply
    376,182,984x = 815,142,456 × 815,142,456
  4. Step 4: Simplify right side
    376,182,984x = 664,457,223,573,711,872
  5. Step 5: Solve for x
    x = 664,457,223,573,711,872/376,182,984
  6. Step 6: Final answer
    x = 1,766,313,873.39

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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.