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Finding the Third Proportional to 13,597,690.50 and 21,085,850.81

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Solution

The third proportional to 13,597,690.50 and 21,085,850.81 is: 32,697,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597,690.50 : 21,085,850.81 = 21,085,850.81 : x
  2. Step 2: Convert to fraction form
    13,597,690.50/21,085,850.81 = 21,085,850.81/x
  3. Step 3: Cross multiply
    13,597,690.50x = 21,085,850.81 × 21,085,850.81
  4. Step 4: Simplify right side
    13,597,690.50x = 444,613,104,487,006.94
  5. Step 5: Solve for x
    x = 444,613,104,487,006.94/13,597,690.50
  6. Step 6: Final answer
    x = 32,697,692.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.