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Finding the Third Proportional to 351,351,508 and 763,186,200

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Solution

The third proportional to 351,351,508 and 763,186,200 is: 1,657,750,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,351,508 : 763,186,200 = 763,186,200 : x
  2. Step 2: Convert to fraction form
    351,351,508/763,186,200 = 763,186,200/x
  3. Step 3: Cross multiply
    351,351,508x = 763,186,200 × 763,186,200
  4. Step 4: Simplify right side
    351,351,508x = 582,453,175,870,439,936
  5. Step 5: Solve for x
    x = 582,453,175,870,439,936/351,351,508
  6. Step 6: Final answer
    x = 1,657,750,607.61

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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.