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Finding the Third Proportional to 226,213,523,650 and 492,143,390,012

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Solution

The third proportional to 226,213,523,650 and 492,143,390,012 is: 1,070,692,469,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,213,523,650 : 492,143,390,012 = 492,143,390,012 : x
  2. Step 2: Convert to fraction form
    226,213,523,650/492,143,390,012 = 492,143,390,012/x
  3. Step 3: Cross multiply
    226,213,523,650x = 492,143,390,012 × 492,143,390,012
  4. Step 4: Simplify right side
    226,213,523,650x = 242,205,116,332,503,545,675,776
  5. Step 5: Solve for x
    x = 242,205,116,332,503,545,675,776/226,213,523,650
  6. Step 6: Final answer
    x = 1,070,692,469,771.37

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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.