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Finding the Third Proportional to 22,197,292,690.50 and 52,381,638,414

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Solution

The third proportional to 22,197,292,690.50 and 52,381,638,414 is: 123,611,292,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197,292,690.50 : 52,381,638,414 = 52,381,638,414 : x
  2. Step 2: Convert to fraction form
    22,197,292,690.50/52,381,638,414 = 52,381,638,414/x
  3. Step 3: Cross multiply
    22,197,292,690.50x = 52,381,638,414 × 52,381,638,414
  4. Step 4: Simplify right side
    22,197,292,690.50x = 2,743,836,042,935,040,212,992
  5. Step 5: Solve for x
    x = 2,743,836,042,935,040,212,992/22,197,292,690.50
  6. Step 6: Final answer
    x = 123,611,292,655.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.