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Finding the Third Proportional to 50,710,869 and 75,767,784.75

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Solution

The third proportional to 50,710,869 and 75,767,784.75 is: 113,205,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710,869 : 75,767,784.75 = 75,767,784.75 : x
  2. Step 2: Convert to fraction form
    50,710,869/75,767,784.75 = 75,767,784.75/x
  3. Step 3: Cross multiply
    50,710,869x = 75,767,784.75 × 75,767,784.75
  4. Step 4: Simplify right side
    50,710,869x = 5,740,757,205,922,333
  5. Step 5: Solve for x
    x = 5,740,757,205,922,333/50,710,869
  6. Step 6: Final answer
    x = 113,205,656.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.