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Finding the Third Proportional to 2,211,702,876 and 4,751,628,444

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Solution

The third proportional to 2,211,702,876 and 4,751,628,444 is: 10,208,411,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,702,876 : 4,751,628,444 = 4,751,628,444 : x
  2. Step 2: Convert to fraction form
    2,211,702,876/4,751,628,444 = 4,751,628,444/x
  3. Step 3: Cross multiply
    2,211,702,876x = 4,751,628,444 × 4,751,628,444
  4. Step 4: Simplify right side
    2,211,702,876x = 22,577,972,869,829,861,376
  5. Step 5: Solve for x
    x = 22,577,972,869,829,861,376/2,211,702,876
  6. Step 6: Final answer
    x = 10,208,411,407.71

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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.