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Finding the Third Proportional to 5,813,078 and 13,577,652

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Solution

The third proportional to 5,813,078 and 13,577,652 is: 31,713,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,078 : 13,577,652 = 13,577,652 : x
  2. Step 2: Convert to fraction form
    5,813,078/13,577,652 = 13,577,652/x
  3. Step 3: Cross multiply
    5,813,078x = 13,577,652 × 13,577,652
  4. Step 4: Simplify right side
    5,813,078x = 184,352,633,833,104
  5. Step 5: Solve for x
    x = 184,352,633,833,104/5,813,078
  6. Step 6: Final answer
    x = 31,713,428.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.