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Finding the Third Proportional to 10,284,983 and 21,936,841

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Solution

The third proportional to 10,284,983 and 21,936,841 is: 46,789,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,983 : 21,936,841 = 21,936,841 : x
  2. Step 2: Convert to fraction form
    10,284,983/21,936,841 = 21,936,841/x
  3. Step 3: Cross multiply
    10,284,983x = 21,936,841 × 21,936,841
  4. Step 4: Simplify right side
    10,284,983x = 481,224,993,059,281
  5. Step 5: Solve for x
    x = 481,224,993,059,281/10,284,983
  6. Step 6: Final answer
    x = 46,789,089.79

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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.