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Finding the Third Proportional to 224,362,089 and 344,647,640

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Solution

The third proportional to 224,362,089 and 344,647,640 is: 529,420,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,362,089 : 344,647,640 = 344,647,640 : x
  2. Step 2: Convert to fraction form
    224,362,089/344,647,640 = 344,647,640/x
  3. Step 3: Cross multiply
    224,362,089x = 344,647,640 × 344,647,640
  4. Step 4: Simplify right side
    224,362,089x = 118,781,995,757,569,600
  5. Step 5: Solve for x
    x = 118,781,995,757,569,600/224,362,089
  6. Step 6: Final answer
    x = 529,420,974.31

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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.