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Finding the Third Proportional to 3,427,059.38 and 7,294,237.31

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Solution

The third proportional to 3,427,059.38 and 7,294,237.31 is: 15,525,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,059.38 : 7,294,237.31 = 7,294,237.31 : x
  2. Step 2: Convert to fraction form
    3,427,059.38/7,294,237.31 = 7,294,237.31/x
  3. Step 3: Cross multiply
    3,427,059.38x = 7,294,237.31 × 7,294,237.31
  4. Step 4: Simplify right side
    3,427,059.38x = 53,205,897,971,067.22
  5. Step 5: Solve for x
    x = 53,205,897,971,067.22/3,427,059.38
  6. Step 6: Final answer
    x = 15,525,233.78

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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.