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Finding the Third Proportional to 5,416,027,947 and 11,793,560,472

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Solution

The third proportional to 5,416,027,947 and 11,793,560,472 is: 25,680,825,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,027,947 : 11,793,560,472 = 11,793,560,472 : x
  2. Step 2: Convert to fraction form
    5,416,027,947/11,793,560,472 = 11,793,560,472/x
  3. Step 3: Cross multiply
    5,416,027,947x = 11,793,560,472 × 11,793,560,472
  4. Step 4: Simplify right side
    5,416,027,947x = 139,088,068,606,720,868,352
  5. Step 5: Solve for x
    x = 139,088,068,606,720,868,352/5,416,027,947
  6. Step 6: Final answer
    x = 25,680,825,499.39

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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.