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Finding the Third Proportional to 226,213,523,644 and 492,143,390,000

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Solution

The third proportional to 226,213,523,644 and 492,143,390,000 is: 1,070,692,469,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,213,523,644 : 492,143,390,000 = 492,143,390,000 : x
  2. Step 2: Convert to fraction form
    226,213,523,644/492,143,390,000 = 492,143,390,000/x
  3. Step 3: Cross multiply
    226,213,523,644x = 492,143,390,000 × 492,143,390,000
  4. Step 4: Simplify right side
    226,213,523,644x = 242,205,116,320,692,083,621,888
  5. Step 5: Solve for x
    x = 242,205,116,320,692,083,621,888/226,213,523,644
  6. Step 6: Final answer
    x = 1,070,692,469,747.56

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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.