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Finding the Third Proportional to 2,266,064,935 and 4,876,503,744

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Solution

The third proportional to 2,266,064,935 and 4,876,503,744 is: 10,494,089,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,064,935 : 4,876,503,744 = 4,876,503,744 : x
  2. Step 2: Convert to fraction form
    2,266,064,935/4,876,503,744 = 4,876,503,744/x
  3. Step 3: Cross multiply
    2,266,064,935x = 4,876,503,744 × 4,876,503,744
  4. Step 4: Simplify right side
    2,266,064,935x = 23,780,288,765,246,017,536
  5. Step 5: Solve for x
    x = 23,780,288,765,246,017,536/2,266,064,935
  6. Step 6: Final answer
    x = 10,494,089,731.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.