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Finding the Third Proportional to 6,117,447,757.50 and 9,446,409,927

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Solution

The third proportional to 6,117,447,757.50 and 9,446,409,927 is: 14,586,910,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117,447,757.50 : 9,446,409,927 = 9,446,409,927 : x
  2. Step 2: Convert to fraction form
    6,117,447,757.50/9,446,409,927 = 9,446,409,927/x
  3. Step 3: Cross multiply
    6,117,447,757.50x = 9,446,409,927 × 9,446,409,927
  4. Step 4: Simplify right side
    6,117,447,757.50x = 89,234,660,508,924,149,760
  5. Step 5: Solve for x
    x = 89,234,660,508,924,149,760/6,117,447,757.50
  6. Step 6: Final answer
    x = 14,586,910,104.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.