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Finding the Third Proportional to 12,286,424 and 16,540,056

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Solution

The third proportional to 12,286,424 and 16,540,056 is: 22,266,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286,424 : 16,540,056 = 16,540,056 : x
  2. Step 2: Convert to fraction form
    12,286,424/16,540,056 = 16,540,056/x
  3. Step 3: Cross multiply
    12,286,424x = 16,540,056 × 16,540,056
  4. Step 4: Simplify right side
    12,286,424x = 273,573,452,483,136
  5. Step 5: Solve for x
    x = 273,573,452,483,136/12,286,424
  6. Step 6: Final answer
    x = 22,266,320.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.