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Finding the Third Proportional to 9,148,729.50 and 12,196,629

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Solution

The third proportional to 9,148,729.50 and 12,196,629 is: 16,259,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,729.50 : 12,196,629 = 12,196,629 : x
  2. Step 2: Convert to fraction form
    9,148,729.50/12,196,629 = 12,196,629/x
  3. Step 3: Cross multiply
    9,148,729.50x = 12,196,629 × 12,196,629
  4. Step 4: Simplify right side
    9,148,729.50x = 148,757,758,963,641
  5. Step 5: Solve for x
    x = 148,757,758,963,641/9,148,729.50
  6. Step 6: Final answer
    x = 16,259,936.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.