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Finding the Third Proportional to 50,100,660 and 77,575,277.25

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Solution

The third proportional to 50,100,660 and 77,575,277.25 is: 120,116,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,660 : 77,575,277.25 = 77,575,277.25 : x
  2. Step 2: Convert to fraction form
    50,100,660/77,575,277.25 = 77,575,277.25/x
  3. Step 3: Cross multiply
    50,100,660x = 77,575,277.25 × 77,575,277.25
  4. Step 4: Simplify right side
    50,100,660x = 6,017,923,640,414,368
  5. Step 5: Solve for x
    x = 6,017,923,640,414,368/50,100,660
  6. Step 6: Final answer
    x = 120,116,653.96

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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.