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Finding the Third Proportional to 366,766,024 and 548,696,728

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Solution

The third proportional to 366,766,024 and 548,696,728 is: 820,872,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,766,024 : 548,696,728 = 548,696,728 : x
  2. Step 2: Convert to fraction form
    366,766,024/548,696,728 = 548,696,728/x
  3. Step 3: Cross multiply
    366,766,024x = 548,696,728 × 548,696,728
  4. Step 4: Simplify right side
    366,766,024x = 301,068,099,317,905,984
  5. Step 5: Solve for x
    x = 301,068,099,317,905,984/366,766,024
  6. Step 6: Final answer
    x = 820,872,380.80

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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.