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Finding the Third Proportional to 6,113,734,539 and 13,334,227,734

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Solution

The third proportional to 6,113,734,539 and 13,334,227,734 is: 29,082,327,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113,734,539 : 13,334,227,734 = 13,334,227,734 : x
  2. Step 2: Convert to fraction form
    6,113,734,539/13,334,227,734 = 13,334,227,734/x
  3. Step 3: Cross multiply
    6,113,734,539x = 13,334,227,734 × 13,334,227,734
  4. Step 4: Simplify right side
    6,113,734,539x = 177,801,629,262,174,781,440
  5. Step 5: Solve for x
    x = 177,801,629,262,174,781,440/6,113,734,539
  6. Step 6: Final answer
    x = 29,082,327,361.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.