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Finding the Third Proportional to 12,954,199.50 and 27,702,012

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Solution

The third proportional to 12,954,199.50 and 27,702,012 is: 59,239,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954,199.50 : 27,702,012 = 27,702,012 : x
  2. Step 2: Convert to fraction form
    12,954,199.50/27,702,012 = 27,702,012/x
  3. Step 3: Cross multiply
    12,954,199.50x = 27,702,012 × 27,702,012
  4. Step 4: Simplify right side
    12,954,199.50x = 767,401,468,848,144
  5. Step 5: Solve for x
    x = 767,401,468,848,144/12,954,199.50
  6. Step 6: Final answer
    x = 59,239,590.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.