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Finding the Third Proportional to 348,099,966 and 522,150,012

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Solution

The third proportional to 348,099,966 and 522,150,012 is: 783,225,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,099,966 : 522,150,012 = 522,150,012 : x
  2. Step 2: Convert to fraction form
    348,099,966/522,150,012 = 522,150,012/x
  3. Step 3: Cross multiply
    348,099,966x = 522,150,012 × 522,150,012
  4. Step 4: Simplify right side
    348,099,966x = 272,640,635,031,600,128
  5. Step 5: Solve for x
    x = 272,640,635,031,600,128/348,099,966
  6. Step 6: Final answer
    x = 783,225,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.