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Finding the Third Proportional to 30,449,691 and 41,474,344.50

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Solution

The third proportional to 30,449,691 and 41,474,344.50 is: 56,490,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449,691 : 41,474,344.50 = 41,474,344.50 : x
  2. Step 2: Convert to fraction form
    30,449,691/41,474,344.50 = 41,474,344.50/x
  3. Step 3: Cross multiply
    30,449,691x = 41,474,344.50 × 41,474,344.50
  4. Step 4: Simplify right side
    30,449,691x = 1,720,121,251,704,680.25
  5. Step 5: Solve for x
    x = 1,720,121,251,704,680.25/30,449,691
  6. Step 6: Final answer
    x = 56,490,597.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.