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Finding the Third Proportional to 11,741,988 and 16,535,466

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Solution

The third proportional to 11,741,988 and 16,535,466 is: 23,285,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741,988 : 16,535,466 = 16,535,466 : x
  2. Step 2: Convert to fraction form
    11,741,988/16,535,466 = 16,535,466/x
  3. Step 3: Cross multiply
    11,741,988x = 16,535,466 × 16,535,466
  4. Step 4: Simplify right side
    11,741,988x = 273,421,635,837,156
  5. Step 5: Solve for x
    x = 273,421,635,837,156/11,741,988
  6. Step 6: Final answer
    x = 23,285,804.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.