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Finding the Third Proportional to 49,301,759 and 76,643,843

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Solution

The third proportional to 49,301,759 and 76,643,843 is: 119,149,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301,759 : 76,643,843 = 76,643,843 : x
  2. Step 2: Convert to fraction form
    49,301,759/76,643,843 = 76,643,843/x
  3. Step 3: Cross multiply
    49,301,759x = 76,643,843 × 76,643,843
  4. Step 4: Simplify right side
    49,301,759x = 5,874,278,669,808,649
  5. Step 5: Solve for x
    x = 5,874,278,669,808,649/49,301,759
  6. Step 6: Final answer
    x = 119,149,474.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.