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Finding the Third Proportional to 2,256,218,550 and 4,948,285,788

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Solution

The third proportional to 2,256,218,550 and 4,948,285,788 is: 10,852,464,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,218,550 : 4,948,285,788 = 4,948,285,788 : x
  2. Step 2: Convert to fraction form
    2,256,218,550/4,948,285,788 = 4,948,285,788/x
  3. Step 3: Cross multiply
    2,256,218,550x = 4,948,285,788 × 4,948,285,788
  4. Step 4: Simplify right side
    2,256,218,550x = 24,485,532,239,722,782,720
  5. Step 5: Solve for x
    x = 24,485,532,239,722,782,720/2,256,218,550
  6. Step 6: Final answer
    x = 10,852,464,731.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.