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Finding the Third Proportional to 50,269,296 and 77,363,496

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Solution

The third proportional to 50,269,296 and 77,363,496 is: 119,060,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,269,296 : 77,363,496 = 77,363,496 : x
  2. Step 2: Convert to fraction form
    50,269,296/77,363,496 = 77,363,496/x
  3. Step 3: Cross multiply
    50,269,296x = 77,363,496 × 77,363,496
  4. Step 4: Simplify right side
    50,269,296x = 5,985,110,513,342,016
  5. Step 5: Solve for x
    x = 5,985,110,513,342,016/50,269,296
  6. Step 6: Final answer
    x = 119,060,957.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.