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Finding the Third Proportional to 21,180,648 and 46,245,360

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Solution

The third proportional to 21,180,648 and 46,245,360 is: 100,971,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180,648 : 46,245,360 = 46,245,360 : x
  2. Step 2: Convert to fraction form
    21,180,648/46,245,360 = 46,245,360/x
  3. Step 3: Cross multiply
    21,180,648x = 46,245,360 × 46,245,360
  4. Step 4: Simplify right side
    21,180,648x = 2,138,633,321,529,600
  5. Step 5: Solve for x
    x = 2,138,633,321,529,600/21,180,648
  6. Step 6: Final answer
    x = 100,971,099.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.