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Finding the Third Proportional to 2,742,464.25 and 5,906,364.75

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Solution

The third proportional to 2,742,464.25 and 5,906,364.75 is: 12,720,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,464.25 : 5,906,364.75 = 5,906,364.75 : x
  2. Step 2: Convert to fraction form
    2,742,464.25/5,906,364.75 = 5,906,364.75/x
  3. Step 3: Cross multiply
    2,742,464.25x = 5,906,364.75 × 5,906,364.75
  4. Step 4: Simplify right side
    2,742,464.25x = 34,885,144,560,042.56
  5. Step 5: Solve for x
    x = 34,885,144,560,042.56/2,742,464.25
  6. Step 6: Final answer
    x = 12,720,364.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.