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Finding the Third Proportional to 50,467,716 and 75,617,613

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Solution

The third proportional to 50,467,716 and 75,617,613 is: 113,300,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467,716 : 75,617,613 = 75,617,613 : x
  2. Step 2: Convert to fraction form
    50,467,716/75,617,613 = 75,617,613/x
  3. Step 3: Cross multiply
    50,467,716x = 75,617,613 × 75,617,613
  4. Step 4: Simplify right side
    50,467,716x = 5,718,023,395,817,769
  5. Step 5: Solve for x
    x = 5,718,023,395,817,769/50,467,716
  6. Step 6: Final answer
    x = 113,300,617.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.