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Finding the Third Proportional to 13,884,869 and 20,814,019

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Solution

The third proportional to 13,884,869 and 20,814,019 is: 31,201,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,869 : 20,814,019 = 20,814,019 : x
  2. Step 2: Convert to fraction form
    13,884,869/20,814,019 = 20,814,019/x
  3. Step 3: Cross multiply
    13,884,869x = 20,814,019 × 20,814,019
  4. Step 4: Simplify right side
    13,884,869x = 433,223,386,932,361
  5. Step 5: Solve for x
    x = 433,223,386,932,361/13,884,869
  6. Step 6: Final answer
    x = 31,201,114.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.