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Finding the Third Proportional to 227,153,553 and 494,106,738

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Solution

The third proportional to 227,153,553 and 494,106,738 is: 1,074,786,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,553 : 494,106,738 = 494,106,738 : x
  2. Step 2: Convert to fraction form
    227,153,553/494,106,738 = 494,106,738/x
  3. Step 3: Cross multiply
    227,153,553x = 494,106,738 × 494,106,738
  4. Step 4: Simplify right side
    227,153,553x = 244,141,468,537,000,640
  5. Step 5: Solve for x
    x = 244,141,468,537,000,640/227,153,553
  6. Step 6: Final answer
    x = 1,074,786,043.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.