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Finding the Third Proportional to 77,596,947 and 107,892,364.50

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Solution

The third proportional to 77,596,947 and 107,892,364.50 is: 150,015,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,596,947 : 107,892,364.50 = 107,892,364.50 : x
  2. Step 2: Convert to fraction form
    77,596,947/107,892,364.50 = 107,892,364.50/x
  3. Step 3: Cross multiply
    77,596,947x = 107,892,364.50 × 107,892,364.50
  4. Step 4: Simplify right side
    77,596,947x = 11,640,762,317,400,860
  5. Step 5: Solve for x
    x = 11,640,762,317,400,860/77,596,947
  6. Step 6: Final answer
    x = 150,015,725.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.