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Finding the Third Proportional to 50,467,702 and 75,617,596

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Solution

The third proportional to 50,467,702 and 75,617,596 is: 113,300,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467,702 : 75,617,596 = 75,617,596 : x
  2. Step 2: Convert to fraction form
    50,467,702/75,617,596 = 75,617,596/x
  3. Step 3: Cross multiply
    50,467,702x = 75,617,596 × 75,617,596
  4. Step 4: Simplify right side
    50,467,702x = 5,718,020,824,819,216
  5. Step 5: Solve for x
    x = 5,718,020,824,819,216/50,467,702
  6. Step 6: Final answer
    x = 113,300,598.17

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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.