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Finding the Third Proportional to 36,806,197.50 and 77,420,022.75

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Solution

The third proportional to 36,806,197.50 and 77,420,022.75 is: 162,849,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806,197.50 : 77,420,022.75 = 77,420,022.75 : x
  2. Step 2: Convert to fraction form
    36,806,197.50/77,420,022.75 = 77,420,022.75/x
  3. Step 3: Cross multiply
    36,806,197.50x = 77,420,022.75 × 77,420,022.75
  4. Step 4: Simplify right side
    36,806,197.50x = 5,993,859,922,610,518
  5. Step 5: Solve for x
    x = 5,993,859,922,610,518/36,806,197.50
  6. Step 6: Final answer
    x = 162,849,202.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.