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Finding the Third Proportional to 2,540,754,221 and 5,503,605,274

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Solution

The third proportional to 2,540,754,221 and 5,503,605,274 is: 11,921,527,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,754,221 : 5,503,605,274 = 5,503,605,274 : x
  2. Step 2: Convert to fraction form
    2,540,754,221/5,503,605,274 = 5,503,605,274/x
  3. Step 3: Cross multiply
    2,540,754,221x = 5,503,605,274 × 5,503,605,274
  4. Step 4: Simplify right side
    2,540,754,221x = 30,289,671,012,000,616,448
  5. Step 5: Solve for x
    x = 30,289,671,012,000,616,448/2,540,754,221
  6. Step 6: Final answer
    x = 11,921,527,380.20

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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.