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Finding the Third Proportional to 11,571,862,110 and 25,116,433,212

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Solution

The third proportional to 11,571,862,110 and 25,116,433,212 is: 54,514,581,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571,862,110 : 25,116,433,212 = 25,116,433,212 : x
  2. Step 2: Convert to fraction form
    11,571,862,110/25,116,433,212 = 25,116,433,212/x
  3. Step 3: Cross multiply
    11,571,862,110x = 25,116,433,212 × 25,116,433,212
  4. Step 4: Simplify right side
    11,571,862,110x = 630,835,217,292,856,655,872
  5. Step 5: Solve for x
    x = 630,835,217,292,856,655,872/11,571,862,110
  6. Step 6: Final answer
    x = 54,514,581,257.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.