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Finding the Third Proportional to 36,787,914 and 55,690,815

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Solution

The third proportional to 36,787,914 and 55,690,815 is: 84,306,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,787,914 : 55,690,815 = 55,690,815 : x
  2. Step 2: Convert to fraction form
    36,787,914/55,690,815 = 55,690,815/x
  3. Step 3: Cross multiply
    36,787,914x = 55,690,815 × 55,690,815
  4. Step 4: Simplify right side
    36,787,914x = 3,101,466,875,364,225
  5. Step 5: Solve for x
    x = 3,101,466,875,364,225/36,787,914
  6. Step 6: Final answer
    x = 84,306,679.51

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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.