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Finding the Third Proportional to 71,738,782 and 100,663,716

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Solution

The third proportional to 71,738,782 and 100,663,716 is: 141,251,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738,782 : 100,663,716 = 100,663,716 : x
  2. Step 2: Convert to fraction form
    71,738,782/100,663,716 = 100,663,716/x
  3. Step 3: Cross multiply
    71,738,782x = 100,663,716 × 100,663,716
  4. Step 4: Simplify right side
    71,738,782x = 10,133,183,718,928,656
  5. Step 5: Solve for x
    x = 10,133,183,718,928,656/71,738,782
  6. Step 6: Final answer
    x = 141,251,125.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.