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Finding the Third Proportional to 5,113,806.75 and 11,362,727.25

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Solution

The third proportional to 5,113,806.75 and 11,362,727.25 is: 25,247,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,806.75 : 11,362,727.25 = 11,362,727.25 : x
  2. Step 2: Convert to fraction form
    5,113,806.75/11,362,727.25 = 11,362,727.25/x
  3. Step 3: Cross multiply
    5,113,806.75x = 11,362,727.25 × 11,362,727.25
  4. Step 4: Simplify right side
    5,113,806.75x = 129,111,570,557,892.56
  5. Step 5: Solve for x
    x = 129,111,570,557,892.56/5,113,806.75
  6. Step 6: Final answer
    x = 25,247,643.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.