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Finding the Third Proportional to 15,191,607,647,218 and 20,497,045,622,622

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Solution

The third proportional to 15,191,607,647,218 and 20,497,045,622,622 is: 27,655,327,139,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191,607,647,218 : 20,497,045,622,622 = 20,497,045,622,622 : x
  2. Step 2: Convert to fraction form
    15,191,607,647,218/20,497,045,622,622 = 20,497,045,622,622/x
  3. Step 3: Cross multiply
    15,191,607,647,218x = 20,497,045,622,622 × 20,497,045,622,622
  4. Step 4: Simplify right side
    15,191,607,647,218x = 420,128,879,255,847,666,186,190,848
  5. Step 5: Solve for x
    x = 420,128,879,255,847,666,186,190,848/15,191,607,647,218
  6. Step 6: Final answer
    x = 27,655,327,139,309.37

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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.