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Finding the Third Proportional to 30,594,912 and 65,736,846

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Solution

The third proportional to 30,594,912 and 65,736,846 is: 141,243,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594,912 : 65,736,846 = 65,736,846 : x
  2. Step 2: Convert to fraction form
    30,594,912/65,736,846 = 65,736,846/x
  3. Step 3: Cross multiply
    30,594,912x = 65,736,846 × 65,736,846
  4. Step 4: Simplify right side
    30,594,912x = 4,321,332,922,027,716
  5. Step 5: Solve for x
    x = 4,321,332,922,027,716/30,594,912
  6. Step 6: Final answer
    x = 141,243,515.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.