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Finding the Third Proportional to 20,374,464 and 30,824,100

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Solution

The third proportional to 20,374,464 and 30,824,100 is: 46,633,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374,464 : 30,824,100 = 30,824,100 : x
  2. Step 2: Convert to fraction form
    20,374,464/30,824,100 = 30,824,100/x
  3. Step 3: Cross multiply
    20,374,464x = 30,824,100 × 30,824,100
  4. Step 4: Simplify right side
    20,374,464x = 950,125,140,810,000
  5. Step 5: Solve for x
    x = 950,125,140,810,000/20,374,464
  6. Step 6: Final answer
    x = 46,633,135.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.