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Finding the Third Proportional to 11,743,508 and 16,537,528

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Solution

The third proportional to 11,743,508 and 16,537,528 is: 23,288,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743,508 : 16,537,528 = 16,537,528 : x
  2. Step 2: Convert to fraction form
    11,743,508/16,537,528 = 16,537,528/x
  3. Step 3: Cross multiply
    11,743,508x = 16,537,528 × 16,537,528
  4. Step 4: Simplify right side
    11,743,508x = 273,489,832,350,784
  5. Step 5: Solve for x
    x = 273,489,832,350,784/11,743,508
  6. Step 6: Final answer
    x = 23,288,597.61

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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.