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Finding the Third Proportional to 13,869,884 and 18,403,854

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Solution

The third proportional to 13,869,884 and 18,403,854 is: 24,419,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,884 : 18,403,854 = 18,403,854 : x
  2. Step 2: Convert to fraction form
    13,869,884/18,403,854 = 18,403,854/x
  3. Step 3: Cross multiply
    13,869,884x = 18,403,854 × 18,403,854
  4. Step 4: Simplify right side
    13,869,884x = 338,701,842,053,316
  5. Step 5: Solve for x
    x = 338,701,842,053,316/13,869,884
  6. Step 6: Final answer
    x = 24,419,947.71

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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.