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Finding the Third Proportional to 12,181,184.21 and 27,085,886.08

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Solution

The third proportional to 12,181,184.21 and 27,085,886.08 is: 60,227,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181,184.21 : 27,085,886.08 = 27,085,886.08 : x
  2. Step 2: Convert to fraction form
    12,181,184.21/27,085,886.08 = 27,085,886.08/x
  3. Step 3: Cross multiply
    12,181,184.21x = 27,085,886.08 × 27,085,886.08
  4. Step 4: Simplify right side
    12,181,184.21x = 733,645,224,584,240
  5. Step 5: Solve for x
    x = 733,645,224,584,240/12,181,184.21
  6. Step 6: Final answer
    x = 60,227,742.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.