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Finding the Third Proportional to 382,752,414 and 834,780,420

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Solution

The third proportional to 382,752,414 and 834,780,420 is: 1,820,650,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,752,414 : 834,780,420 = 834,780,420 : x
  2. Step 2: Convert to fraction form
    382,752,414/834,780,420 = 834,780,420/x
  3. Step 3: Cross multiply
    382,752,414x = 834,780,420 × 834,780,420
  4. Step 4: Simplify right side
    382,752,414x = 696,858,349,615,376,384
  5. Step 5: Solve for x
    x = 696,858,349,615,376,384/382,752,414
  6. Step 6: Final answer
    x = 1,820,650,436.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.