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Finding the Third Proportional to 20,584,102 and 43,830,512

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Solution

The third proportional to 20,584,102 and 43,830,512 is: 93,329,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584,102 : 43,830,512 = 43,830,512 : x
  2. Step 2: Convert to fraction form
    20,584,102/43,830,512 = 43,830,512/x
  3. Step 3: Cross multiply
    20,584,102x = 43,830,512 × 43,830,512
  4. Step 4: Simplify right side
    20,584,102x = 1,921,113,782,182,144
  5. Step 5: Solve for x
    x = 1,921,113,782,182,144/20,584,102
  6. Step 6: Final answer
    x = 93,329,977.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.