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Finding the Third Proportional to 10,284,984 and 21,936,843

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Solution

The third proportional to 10,284,984 and 21,936,843 is: 46,789,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,984 : 21,936,843 = 21,936,843 : x
  2. Step 2: Convert to fraction form
    10,284,984/21,936,843 = 21,936,843/x
  3. Step 3: Cross multiply
    10,284,984x = 21,936,843 × 21,936,843
  4. Step 4: Simplify right side
    10,284,984x = 481,225,080,806,649
  5. Step 5: Solve for x
    x = 481,225,080,806,649/10,284,984
  6. Step 6: Final answer
    x = 46,789,093.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.