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Finding the Third Proportional to 224,362,094 and 344,647,647

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Solution

The third proportional to 224,362,094 and 344,647,647 is: 529,420,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,362,094 : 344,647,647 = 344,647,647 : x
  2. Step 2: Convert to fraction form
    224,362,094/344,647,647 = 344,647,647/x
  3. Step 3: Cross multiply
    224,362,094x = 344,647,647 × 344,647,647
  4. Step 4: Simplify right side
    224,362,094x = 118,782,000,582,636,608
  5. Step 5: Solve for x
    x = 118,782,000,582,636,608/224,362,094
  6. Step 6: Final answer
    x = 529,420,984.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.