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Finding the Third Proportional to 6,113,734,541 and 13,334,227,738

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Solution

The third proportional to 6,113,734,541 and 13,334,227,738 is: 29,082,327,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113,734,541 : 13,334,227,738 = 13,334,227,738 : x
  2. Step 2: Convert to fraction form
    6,113,734,541/13,334,227,738 = 13,334,227,738/x
  3. Step 3: Cross multiply
    6,113,734,541x = 13,334,227,738 × 13,334,227,738
  4. Step 4: Simplify right side
    6,113,734,541x = 177,801,629,368,848,580,608
  5. Step 5: Solve for x
    x = 177,801,629,368,848,580,608/6,113,734,541
  6. Step 6: Final answer
    x = 29,082,327,369.05

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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.