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Finding the Third Proportional to 12,171,322.13 and 18,954,914.63

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Solution

The third proportional to 12,171,322.13 and 18,954,914.63 is: 29,519,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171,322.13 : 18,954,914.63 = 18,954,914.63 : x
  2. Step 2: Convert to fraction form
    12,171,322.13/18,954,914.63 = 18,954,914.63/x
  3. Step 3: Cross multiply
    12,171,322.13x = 18,954,914.63 × 18,954,914.63
  4. Step 4: Simplify right side
    12,171,322.13x = 359,288,788,441,038.88
  5. Step 5: Solve for x
    x = 359,288,788,441,038.88/12,171,322.13
  6. Step 6: Final answer
    x = 29,519,290.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.