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Finding the Third Proportional to 54,977,980.50 and 80,784,078.75

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Solution

The third proportional to 54,977,980.50 and 80,784,078.75 is: 118,703,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,977,980.50 : 80,784,078.75 = 80,784,078.75 : x
  2. Step 2: Convert to fraction form
    54,977,980.50/80,784,078.75 = 80,784,078.75/x
  3. Step 3: Cross multiply
    54,977,980.50x = 80,784,078.75 × 80,784,078.75
  4. Step 4: Simplify right side
    54,977,980.50x = 6,526,067,379,486,202
  5. Step 5: Solve for x
    x = 6,526,067,379,486,202/54,977,980.50
  6. Step 6: Final answer
    x = 118,703,293.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.