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Finding the Third Proportional to 226,213,523,642 and 492,143,389,996

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Solution

The third proportional to 226,213,523,642 and 492,143,389,996 is: 1,070,692,469,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,213,523,642 : 492,143,389,996 = 492,143,389,996 : x
  2. Step 2: Convert to fraction form
    226,213,523,642/492,143,389,996 = 492,143,389,996/x
  3. Step 3: Cross multiply
    226,213,523,642x = 492,143,389,996 × 492,143,389,996
  4. Step 4: Simplify right side
    226,213,523,642x = 242,205,116,316,754,940,788,736
  5. Step 5: Solve for x
    x = 242,205,116,316,754,940,788,736/226,213,523,642
  6. Step 6: Final answer
    x = 1,070,692,469,739.62

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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.