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Finding the Third Proportional to 2,347,420.50 and 5,143,176

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Solution

The third proportional to 2,347,420.50 and 5,143,176 is: 11,268,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347,420.50 : 5,143,176 = 5,143,176 : x
  2. Step 2: Convert to fraction form
    2,347,420.50/5,143,176 = 5,143,176/x
  3. Step 3: Cross multiply
    2,347,420.50x = 5,143,176 × 5,143,176
  4. Step 4: Simplify right side
    2,347,420.50x = 26,452,259,366,976
  5. Step 5: Solve for x
    x = 26,452,259,366,976/2,347,420.50
  6. Step 6: Final answer
    x = 11,268,649.72

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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.