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Finding the Third Proportional to 13,597,692.75 and 21,085,854.19

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Solution

The third proportional to 13,597,692.75 and 21,085,854.19 is: 32,697,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597,692.75 : 21,085,854.19 = 21,085,854.19 : x
  2. Step 2: Convert to fraction form
    13,597,692.75/21,085,854.19 = 21,085,854.19/x
  3. Step 3: Cross multiply
    13,597,692.75x = 21,085,854.19 × 21,085,854.19
  4. Step 4: Simplify right side
    13,597,692.75x = 444,613,246,816,511.31
  5. Step 5: Solve for x
    x = 444,613,246,816,511.31/13,597,692.75
  6. Step 6: Final answer
    x = 32,697,697.69

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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.