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Finding the Third Proportional to 11,643,413,550 and 25,326,876,250

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Solution

The third proportional to 11,643,413,550 and 25,326,876,250 is: 55,091,288,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,413,550 : 25,326,876,250 = 25,326,876,250 : x
  2. Step 2: Convert to fraction form
    11,643,413,550/25,326,876,250 = 25,326,876,250/x
  3. Step 3: Cross multiply
    11,643,413,550x = 25,326,876,250 × 25,326,876,250
  4. Step 4: Simplify right side
    11,643,413,550x = 641,450,660,582,814,121,984
  5. Step 5: Solve for x
    x = 641,450,660,582,814,121,984/11,643,413,550
  6. Step 6: Final answer
    x = 55,091,288,978.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.