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Finding the Third Proportional to 3,413,870.25 and 7,314,693

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Solution

The third proportional to 3,413,870.25 and 7,314,693 is: 15,672,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,870.25 : 7,314,693 = 7,314,693 : x
  2. Step 2: Convert to fraction form
    3,413,870.25/7,314,693 = 7,314,693/x
  3. Step 3: Cross multiply
    3,413,870.25x = 7,314,693 × 7,314,693
  4. Step 4: Simplify right side
    3,413,870.25x = 53,504,733,684,249
  5. Step 5: Solve for x
    x = 53,504,733,684,249/3,413,870.25
  6. Step 6: Final answer
    x = 15,672,749.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.