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Finding the Third Proportional to 3,170,640.38 and 6,947,259.38

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Solution

The third proportional to 3,170,640.38 and 6,947,259.38 is: 15,222,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,640.38 : 6,947,259.38 = 6,947,259.38 : x
  2. Step 2: Convert to fraction form
    3,170,640.38/6,947,259.38 = 6,947,259.38/x
  3. Step 3: Cross multiply
    3,170,640.38x = 6,947,259.38 × 6,947,259.38
  4. Step 4: Simplify right side
    3,170,640.38x = 48,264,412,823,525.39
  5. Step 5: Solve for x
    x = 48,264,412,823,525.39/3,170,640.38
  6. Step 6: Final answer
    x = 15,222,291.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.