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Finding the Third Proportional to 9,659,559,953,504 and 20,676,058,532,032

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Solution

The third proportional to 9,659,559,953,504 and 20,676,058,532,032 is: 44,256,611,944,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,559,953,504 : 20,676,058,532,032 = 20,676,058,532,032 : x
  2. Step 2: Convert to fraction form
    9,659,559,953,504/20,676,058,532,032 = 20,676,058,532,032/x
  3. Step 3: Cross multiply
    9,659,559,953,504x = 20,676,058,532,032 × 20,676,058,532,032
  4. Step 4: Simplify right side
    9,659,559,953,504x = 427,499,396,420,013,289,681,977,344
  5. Step 5: Solve for x
    x = 427,499,396,420,013,289,681,977,344/9,659,559,953,504
  6. Step 6: Final answer
    x = 44,256,611,944,826.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.