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Finding the Third Proportional to 51,197,192 and 74,879,766

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Solution

The third proportional to 51,197,192 and 74,879,766 is: 109,517,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197,192 : 74,879,766 = 74,879,766 : x
  2. Step 2: Convert to fraction form
    51,197,192/74,879,766 = 74,879,766/x
  3. Step 3: Cross multiply
    51,197,192x = 74,879,766 × 74,879,766
  4. Step 4: Simplify right side
    51,197,192x = 5,606,979,356,214,756
  5. Step 5: Solve for x
    x = 5,606,979,356,214,756/51,197,192
  6. Step 6: Final answer
    x = 109,517,321.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.