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Finding the Third Proportional to 20,745,625 and 30,445,824

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Solution

The third proportional to 20,745,625 and 30,445,824 is: 44,681,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745,625 : 30,445,824 = 30,445,824 : x
  2. Step 2: Convert to fraction form
    20,745,625/30,445,824 = 30,445,824/x
  3. Step 3: Cross multiply
    20,745,625x = 30,445,824 × 30,445,824
  4. Step 4: Simplify right side
    20,745,625x = 926,948,199,038,976
  5. Step 5: Solve for x
    x = 926,948,199,038,976/20,745,625
  6. Step 6: Final answer
    x = 44,681,623.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.