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Finding the Third Proportional to 20,278,514 and 45,090,844

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Solution

The third proportional to 20,278,514 and 45,090,844 is: 100,262,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278,514 : 45,090,844 = 45,090,844 : x
  2. Step 2: Convert to fraction form
    20,278,514/45,090,844 = 45,090,844/x
  3. Step 3: Cross multiply
    20,278,514x = 45,090,844 × 45,090,844
  4. Step 4: Simplify right side
    20,278,514x = 2,033,184,212,632,336
  5. Step 5: Solve for x
    x = 2,033,184,212,632,336/20,278,514
  6. Step 6: Final answer
    x = 100,262,978.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.