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Finding the Third Proportional to 2,540,514,079 and 5,289,806,588

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Solution

The third proportional to 2,540,514,079 and 5,289,806,588 is: 11,014,327,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,514,079 : 5,289,806,588 = 5,289,806,588 : x
  2. Step 2: Convert to fraction form
    2,540,514,079/5,289,806,588 = 5,289,806,588/x
  3. Step 3: Cross multiply
    2,540,514,079x = 5,289,806,588 × 5,289,806,588
  4. Step 4: Simplify right side
    2,540,514,079x = 27,982,053,738,448,203,776
  5. Step 5: Solve for x
    x = 27,982,053,738,448,203,776/2,540,514,079
  6. Step 6: Final answer
    x = 11,014,327,363.80

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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.