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Finding the Third Proportional to 13,527,141.75 and 20,406,350.25

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Solution

The third proportional to 13,527,141.75 and 20,406,350.25 is: 30,783,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527,141.75 : 20,406,350.25 = 20,406,350.25 : x
  2. Step 2: Convert to fraction form
    13,527,141.75/20,406,350.25 = 20,406,350.25/x
  3. Step 3: Cross multiply
    13,527,141.75x = 20,406,350.25 × 20,406,350.25
  4. Step 4: Simplify right side
    13,527,141.75x = 416,419,130,525,675.06
  5. Step 5: Solve for x
    x = 416,419,130,525,675.06/13,527,141.75
  6. Step 6: Final answer
    x = 30,783,970.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.