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Finding the Third Proportional to 2,512,919,943 and 5,524,331,463

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Solution

The third proportional to 2,512,919,943 and 5,524,331,463 is: 12,144,532,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512,919,943 : 5,524,331,463 = 5,524,331,463 : x
  2. Step 2: Convert to fraction form
    2,512,919,943/5,524,331,463 = 5,524,331,463/x
  3. Step 3: Cross multiply
    2,512,919,943x = 5,524,331,463 × 5,524,331,463
  4. Step 4: Simplify right side
    2,512,919,943x = 30,518,238,113,091,719,168
  5. Step 5: Solve for x
    x = 30,518,238,113,091,719,168/2,512,919,943
  6. Step 6: Final answer
    x = 12,144,532,577.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.