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Finding the Third Proportional to 11,430,130 and 16,293,857

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Solution

The third proportional to 11,430,130 and 16,293,857 is: 23,227,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,130 : 16,293,857 = 16,293,857 : x
  2. Step 2: Convert to fraction form
    11,430,130/16,293,857 = 16,293,857/x
  3. Step 3: Cross multiply
    11,430,130x = 16,293,857 × 16,293,857
  4. Step 4: Simplify right side
    11,430,130x = 265,489,775,936,449
  5. Step 5: Solve for x
    x = 265,489,775,936,449/11,430,130
  6. Step 6: Final answer
    x = 23,227,187.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.