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Finding the Third Proportional to 1,256,459,892 and 2,762,165,616

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Solution

The third proportional to 1,256,459,892 and 2,762,165,616 is: 6,072,266,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,459,892 : 2,762,165,616 = 2,762,165,616 : x
  2. Step 2: Convert to fraction form
    1,256,459,892/2,762,165,616 = 2,762,165,616/x
  3. Step 3: Cross multiply
    1,256,459,892x = 2,762,165,616 × 2,762,165,616
  4. Step 4: Simplify right side
    1,256,459,892x = 7,629,558,890,212,659,200
  5. Step 5: Solve for x
    x = 7,629,558,890,212,659,200/1,256,459,892
  6. Step 6: Final answer
    x = 6,072,266,165.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.