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Finding the Third Proportional to 13,869,896 and 18,403,864

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Solution

The third proportional to 13,869,896 and 18,403,864 is: 24,419,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,896 : 18,403,864 = 18,403,864 : x
  2. Step 2: Convert to fraction form
    13,869,896/18,403,864 = 18,403,864/x
  3. Step 3: Cross multiply
    13,869,896x = 18,403,864 × 18,403,864
  4. Step 4: Simplify right side
    13,869,896x = 338,702,210,130,496
  5. Step 5: Solve for x
    x = 338,702,210,130,496/13,869,896
  6. Step 6: Final answer
    x = 24,419,953.12

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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.