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Finding the Third Proportional to 226,213,523,647 and 492,143,390,006

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Solution

The third proportional to 226,213,523,647 and 492,143,390,006 is: 1,070,692,469,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,213,523,647 : 492,143,390,006 = 492,143,390,006 : x
  2. Step 2: Convert to fraction form
    226,213,523,647/492,143,390,006 = 492,143,390,006/x
  3. Step 3: Cross multiply
    226,213,523,647x = 492,143,390,006 × 492,143,390,006
  4. Step 4: Simplify right side
    226,213,523,647x = 242,205,116,326,597,831,426,048
  5. Step 5: Solve for x
    x = 242,205,116,326,597,831,426,048/226,213,523,647
  6. Step 6: Final answer
    x = 1,070,692,469,759.47

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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.