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Finding the Third Proportional to 30,809,382.75 and 65,056,456.13

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Solution

The third proportional to 30,809,382.75 and 65,056,456.13 is: 137,371,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809,382.75 : 65,056,456.13 = 65,056,456.13 : x
  2. Step 2: Convert to fraction form
    30,809,382.75/65,056,456.13 = 65,056,456.13/x
  3. Step 3: Cross multiply
    30,809,382.75x = 65,056,456.13 × 65,056,456.13
  4. Step 4: Simplify right side
    30,809,382.75x = 4,232,342,483,544,050
  5. Step 5: Solve for x
    x = 4,232,342,483,544,050/30,809,382.75
  6. Step 6: Final answer
    x = 137,371,868.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.