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Finding the Third Proportional to 51,413,522 and 75,149,883

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Solution

The third proportional to 51,413,522 and 75,149,883 is: 109,844,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413,522 : 75,149,883 = 75,149,883 : x
  2. Step 2: Convert to fraction form
    51,413,522/75,149,883 = 75,149,883/x
  3. Step 3: Cross multiply
    51,413,522x = 75,149,883 × 75,149,883
  4. Step 4: Simplify right side
    51,413,522x = 5,647,504,914,913,689
  5. Step 5: Solve for x
    x = 5,647,504,914,913,689/51,413,522
  6. Step 6: Final answer
    x = 109,844,739.19

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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.