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Finding the Third Proportional to 15,191,607,647,220 and 20,497,045,622,625

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Solution

The third proportional to 15,191,607,647,220 and 20,497,045,622,625 is: 27,655,327,139,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191,607,647,220 : 20,497,045,622,625 = 20,497,045,622,625 : x
  2. Step 2: Convert to fraction form
    15,191,607,647,220/20,497,045,622,625 = 20,497,045,622,625/x
  3. Step 3: Cross multiply
    15,191,607,647,220x = 20,497,045,622,625 × 20,497,045,622,625
  4. Step 4: Simplify right side
    15,191,607,647,220x = 420,128,879,255,970,674,049,548,288
  5. Step 5: Solve for x
    x = 420,128,879,255,970,674,049,548,288/15,191,607,647,220
  6. Step 6: Final answer
    x = 27,655,327,139,313.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.