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Finding the Third Proportional to 1,483,441,004,486 and 3,213,326,840,834

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Solution

The third proportional to 1,483,441,004,486 and 3,213,326,840,834 is: 6,960,485,354,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483,441,004,486 : 3,213,326,840,834 = 3,213,326,840,834 : x
  2. Step 2: Convert to fraction form
    1,483,441,004,486/3,213,326,840,834 = 3,213,326,840,834/x
  3. Step 3: Cross multiply
    1,483,441,004,486x = 3,213,326,840,834 × 3,213,326,840,834
  4. Step 4: Simplify right side
    1,483,441,004,486x = 10,325,469,386,024,214,880,845,824
  5. Step 5: Solve for x
    x = 10,325,469,386,024,214,880,845,824/1,483,441,004,486
  6. Step 6: Final answer
    x = 6,960,485,354,523.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.