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Finding the Third Proportional to 20,374,425 and 30,824,077.50

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Solution

The third proportional to 20,374,425 and 30,824,077.50 is: 46,633,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374,425 : 30,824,077.50 = 30,824,077.50 : x
  2. Step 2: Convert to fraction form
    20,374,425/30,824,077.50 = 30,824,077.50/x
  3. Step 3: Cross multiply
    20,374,425x = 30,824,077.50 × 30,824,077.50
  4. Step 4: Simplify right side
    20,374,425x = 950,123,753,726,006.25
  5. Step 5: Solve for x
    x = 950,123,753,726,006.25/20,374,425
  6. Step 6: Final answer
    x = 46,633,156.70

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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.