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Finding the Third Proportional to 226,434,483 and 493,860,048

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Solution

The third proportional to 226,434,483 and 493,860,048 is: 1,077,122,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,434,483 : 493,860,048 = 493,860,048 : x
  2. Step 2: Convert to fraction form
    226,434,483/493,860,048 = 493,860,048/x
  3. Step 3: Cross multiply
    226,434,483x = 493,860,048 × 493,860,048
  4. Step 4: Simplify right side
    226,434,483x = 243,897,747,010,562,304
  5. Step 5: Solve for x
    x = 243,897,747,010,562,304/226,434,483
  6. Step 6: Final answer
    x = 1,077,122,811.77

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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.