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Finding the Third Proportional to 5,813,074.50 and 13,577,643.75

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Solution

The third proportional to 5,813,074.50 and 13,577,643.75 is: 31,713,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,074.50 : 13,577,643.75 = 13,577,643.75 : x
  2. Step 2: Convert to fraction form
    5,813,074.50/13,577,643.75 = 13,577,643.75/x
  3. Step 3: Cross multiply
    5,813,074.50x = 13,577,643.75 × 13,577,643.75
  4. Step 4: Simplify right side
    5,813,074.50x = 184,352,409,801,914.06
  5. Step 5: Solve for x
    x = 184,352,409,801,914.06/5,813,074.50
  6. Step 6: Final answer
    x = 31,713,409.11

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