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Finding the Third Proportional to 14,507,049 and 21,947,154

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Solution

The third proportional to 14,507,049 and 21,947,154 is: 33,203,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507,049 : 21,947,154 = 21,947,154 : x
  2. Step 2: Convert to fraction form
    14,507,049/21,947,154 = 21,947,154/x
  3. Step 3: Cross multiply
    14,507,049x = 21,947,154 × 21,947,154
  4. Step 4: Simplify right side
    14,507,049x = 481,677,568,699,716
  5. Step 5: Solve for x
    x = 481,677,568,699,716/14,507,049
  6. Step 6: Final answer
    x = 33,203,001.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.