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Finding the Third Proportional to 348,099,970 and 522,150,018

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Solution

The third proportional to 348,099,970 and 522,150,018 is: 783,225,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,099,970 : 522,150,018 = 522,150,018 : x
  2. Step 2: Convert to fraction form
    348,099,970/522,150,018 = 522,150,018/x
  3. Step 3: Cross multiply
    348,099,970x = 522,150,018 × 522,150,018
  4. Step 4: Simplify right side
    348,099,970x = 272,640,641,297,400,320
  5. Step 5: Solve for x
    x = 272,640,641,297,400,320/348,099,970
  6. Step 6: Final answer
    x = 783,225,121.50

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