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Finding the Third Proportional to 3,009,160.13 and 4,571,214.75

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Solution

The third proportional to 3,009,160.13 and 4,571,214.75 is: 6,944,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,160.13 : 4,571,214.75 = 4,571,214.75 : x
  2. Step 2: Convert to fraction form
    3,009,160.13/4,571,214.75 = 4,571,214.75/x
  3. Step 3: Cross multiply
    3,009,160.13x = 4,571,214.75 × 4,571,214.75
  4. Step 4: Simplify right side
    3,009,160.13x = 20,896,004,290,617.56
  5. Step 5: Solve for x
    x = 20,896,004,290,617.56/3,009,160.13
  6. Step 6: Final answer
    x = 6,944,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.