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Finding the Third Proportional to 2,540,514,077 and 5,289,806,584

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Solution

The third proportional to 2,540,514,077 and 5,289,806,584 is: 11,014,327,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,514,077 : 5,289,806,584 = 5,289,806,584 : x
  2. Step 2: Convert to fraction form
    2,540,514,077/5,289,806,584 = 5,289,806,584/x
  3. Step 3: Cross multiply
    2,540,514,077x = 5,289,806,584 × 5,289,806,584
  4. Step 4: Simplify right side
    2,540,514,077x = 27,982,053,696,129,748,992
  5. Step 5: Solve for x
    x = 27,982,053,696,129,748,992/2,540,514,077
  6. Step 6: Final answer
    x = 11,014,327,355.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.