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Finding the Third Proportional to 376,370,224 and 815,281,540

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Solution

The third proportional to 376,370,224 and 815,281,540 is: 1,766,037,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,370,224 : 815,281,540 = 815,281,540 : x
  2. Step 2: Convert to fraction form
    376,370,224/815,281,540 = 815,281,540/x
  3. Step 3: Cross multiply
    376,370,224x = 815,281,540 × 815,281,540
  4. Step 4: Simplify right side
    376,370,224x = 664,683,989,464,771,584
  5. Step 5: Solve for x
    x = 664,683,989,464,771,584/376,370,224
  6. Step 6: Final answer
    x = 1,766,037,659.41

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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.