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Finding the Third Proportional to 6,117,447,721.50 and 9,446,409,873

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Solution

The third proportional to 6,117,447,721.50 and 9,446,409,873 is: 14,586,910,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117,447,721.50 : 9,446,409,873 = 9,446,409,873 : x
  2. Step 2: Convert to fraction form
    6,117,447,721.50/9,446,409,873 = 9,446,409,873/x
  3. Step 3: Cross multiply
    6,117,447,721.50x = 9,446,409,873 × 9,446,409,873
  4. Step 4: Simplify right side
    6,117,447,721.50x = 89,234,659,488,711,868,416
  5. Step 5: Solve for x
    x = 89,234,659,488,711,868,416/6,117,447,721.50
  6. Step 6: Final answer
    x = 14,586,910,023.78

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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.