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Finding the Third Proportional to 2,163,034 and 5,007,283

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Solution

The third proportional to 2,163,034 and 5,007,283 is: 11,591,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,034 : 5,007,283 = 5,007,283 : x
  2. Step 2: Convert to fraction form
    2,163,034/5,007,283 = 5,007,283/x
  3. Step 3: Cross multiply
    2,163,034x = 5,007,283 × 5,007,283
  4. Step 4: Simplify right side
    2,163,034x = 25,072,883,042,089
  5. Step 5: Solve for x
    x = 25,072,883,042,089/2,163,034
  6. Step 6: Final answer
    x = 11,591,534.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.