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Finding the Third Proportional to 11,743,446 and 16,537,437

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Solution

The third proportional to 11,743,446 and 16,537,437 is: 23,288,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743,446 : 16,537,437 = 16,537,437 : x
  2. Step 2: Convert to fraction form
    11,743,446/16,537,437 = 16,537,437/x
  3. Step 3: Cross multiply
    11,743,446x = 16,537,437 × 16,537,437
  4. Step 4: Simplify right side
    11,743,446x = 273,486,822,528,969
  5. Step 5: Solve for x
    x = 273,486,822,528,969/11,743,446
  6. Step 6: Final answer
    x = 23,288,464.27

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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.